# William Norrie Everitt

### Born: 10 June 1924 in Birmingham, England

Died: 17 July 2011 in Birmingham, England

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Let us begin by explaining that

**Willian Norrie Everitt**was known as Bill in his younger days, and as an undergraduate he was "Bill". He used the name W N Everitt on most of his publications but he has a 1984 paper with his name given as Willian N Everitt although certainly from the mid 1960s onwards he was known by his friends and colleagues in Dundee as Norrie. From 1991 onwards he has papers with his name given as W Norrie Everitt. The authors of this article knew him as Norrie and we will use that name throughout this biography. Norrie Everitt's parents were Charles Ernest Everitt, a shipping transport director born 6 May 1895, and Elizabeth Cloudsley Ross, born 10 January 1895. Charles and Lizzie were married on 16 June 1920 at Mount Zion Congregational Church in Sheffield, Yorkshire. Norrie had an older sister Eileen M Everitt, born 3 February 1922.

Norrie Everitt was educated at Kings Norton Grammar School in Birmingham. In 1939 Charles and Lizzie Everitt and their daughter Eileen were living at 154 Alcester Road South, Moseley, Birmingham. Eileen's occupation was given as junior clerk. At this time Norrie was fifteen years old, a school pupil, and living with Bernard F W Workman and his wife Edith M Mary Workman at 179 Tredworth Road, Gloucester. The reason that he was living in Gloucester was due to World War II since the pupils in two Birmingham schools, George Dixon and Kings Norton Grammar School, had been evacuated to Gloucester. War was anticipated, evacuation plans had been made, and on 1 September 1939 they were put into operation. In Gloucester several schools were put on a half-day for their own pupils and the Birmingham pupils were educated in the other half-day. After about three months in Gloucester, pupils were sent back to Birmingham since there appeared to be little danger. In fact this was a mistake since Birmingham came under heavy bombing later in the war.

After graduating from Kings Norton Grammar School, Everitt matriculated at the University of Birmingham where he studied electrical engineering. He graduated with first class honours in 1944 at the age of 20 and, with World War II still taking place, he was drafted into the armed forces. He was still in the forces in 1947 when he suffered a fractured spine and was told that there was a high chance he would never walk again. He proved the doctors wrong and his recovery was so complete that he was able to climb the Matterhorn at age 25. He matriculated at Balliol College, Oxford, in 1949 to study mathematics and he was assigned to the tutor Jack de Wet. Jacobus Stephanus de Wet (1913-1995), always known as Jack, was educated at the University of Cape Town, the University of Oxford and then, for his Ph.D. in theoretical physics, he studied at Princeton in the United States. Awarded his doctorate in 1940 for his thesis

*On the Connection Between the Spin and Statistics of Elementary Particles*he taught at the University of Cape Town and the University of Pretoria before being appointed to Balliol College, Oxford, in 1947.

After the award of his M.A., Everitt continued to undertake research at Balliol College for his doctorate advised by Edward Charles Titchmarsh. Everitt was awarded a DPhil in 1955 for his thesis

*Eigenfunction Expansions Associated with Fourth-Order Differential Equations*. A paper based on the results of his thesis was

*The Sturm-Liouville problem for fourth-order differential equations*(1957). The paper begins as follows:-

This paper, submitted in December 1956, was not Everitt's first since he had submittedIn this paper I consider the direct extension to fourth-order ordinary differential equations of the analysis of the Sturm-Liouville problem given in his book 'Eigenfunction expansions associated with second-order differential equations'(Oxford,1946)by E C Titchmarsh. This type of problem has been considered, for general-order equations, by many writers[see in particular G D Birkhoff, 'Boundary-value and expansion problems of ordinary differential equations'(1908)and J Tamarkin, 'Some general problems of the theory of ordinary linear differential equations and expansion of an arbitrary function in a series of fundamental functions'(1927)]. Here we consider some of the explicit constructions for the eigenfunctions; the fact that equations of the fourth and higher order are occurring in mathematical physics suggests that such information might be useful. The method stems from a new representation of the Green's function for a boundary-value problem. The method can be at once extended to equations of higher order and to more general boundary conditions than I consider here. Most of the information presented is taken from a D.Phil. thesis(May,1955)accepted by the University of Oxford. In some places excessive details have been omitted but the results obtained are stated in full. ... The author wishes to express his gratitude to Professor E C Titchmarsh.

*Inequalities for Gram determinants*(1957) in October 1956.

Before the award of his D.Phil., Everitt had been appointed to the Royal Military College of Science in Shrivenham in 1954. Also before the award of his D.Phil. he married Katharine Elisabeth Gibson (known as Kit). They had two sons, Charles Everitt (born 7 January 1956) and Timothy Everitt (born 1957). The family lived at 39 Faringdon Road, Abingdon, which was only 12 km from Oxford and Everitt made the trip to Oxford on Friday afternoons to attend the analysis seminar at the University.

Everitt published papers such as

*Some properties of Gram matrices and determinants*(1958),

*A note on positive definite matrices*(1958), I

*ntegrable-square solutions of ordinary differential equations*(1959),

*On a generalization of Bessel functions and a resulting class of Fourier kernels*(1959),

*On the Hölder inequality*(1961),

*Self-adjoint boundary value problems on finite intervals*(1962),

*Integrable-square solutions of ordinary differential equations. II*(1962),

*Two theorems in matrix theory*(1962) and

*Fourth order singular differential equations*(1962). This impressive list of high quality papers led to Everitt being appointed to the Baxter Chair of Mathematics, Queen's College, Dundee, in 1962, taking up the post in the following year. The chair is named for the Baxter family who made their fortune from the jute mills of Dundee and gave money to found a college in the city in 1881. When Everitt was appointed to Queen's College, Dundee, it was still a college of the University of St Andrews, and it remained as such until 1 August 1967 when the University of Dundee received its royal charter. Everitt delivered his inaugural lecture in 1963, entitled 'The Spell of Mathematics'.

Before continuing with our biography of Norrie Everitt, let us give brief details of his sons. Charles Everitt was educated at Dundee High School, Edinburgh University and Balliol College Oxford. He was awarded a D.Phil. in history from the University of Oxford in 1986. Received into the Roman Catholic Church in 1989 he was ordained a priest in 1994. He is now known as Father Gabriel and is currently Director of the Centre for Benedictine Education, Master of Studies at Ampleforth Abbey, and Librarian at St Benet's Hall, Oxford. Timothy Everitt was awarded a B.Sc. from the University of Aberdeen in 1978, worked as an engineer for BP from 1989 to 1993, and is now a consultant for Cults Telecom Services.

For nearly 20 years Everitt was the Baxter Professor of Mathematics in Dundee. During this time he served twice as Head of Department, 1963-1967, and 1977-1980. One of his most significant contributions was the running of conferences on the 'Theory of Ordinary and Partial Differential Equations'. The first, held in Dundee from 28 to 31 March 1972, had Proceedings published in the Springer Lecture Notes in Mathematics series with Norrie Everitt and Brian Sleeman as editors. They write in the Preface:-

The success of this conference led to it becoming the first in a series, and in 1978 the fifth 'Ordinary and Partial Differential Equations Conference' was held in Dundee with Everitt as the sole editor of the Proceedings. He writes in the Preface:-These Proceedings form a record of the lectures delivered at the Conference on the Theory of Ordinary and Partial Differential Equations held at the University of Dundee, Scotland during the four days28to31March1972. The Conference was attended by140mathematicians from the following countries Belgium, Canada, Denmark, France, Germany, Ireland, Italy, The Netherlands, Poland, Sweden, Switzerland, the United Kingdom and the United States of America. ... The Conference was organised by the following committee: W N Everitt(Chairman), J S Bradley, B D Sleeman and I M Michael. Dr Sleeman and Dr Michael acted as Organising Secretaries for the Conference.

The seventh conference in the series took place in Dundee in March/April 1982, and later that year Everitt left Dundee to take up an appointment at the University of Birmingham as Mason Chair and Head of the Department of Mathematics. He continued in this role until he retired at the age of 65 in 1989. He did not leave Birmingham at this time, however, and continued to work at the University as an honorary Senior Research Fellow until September 2009.These Proceedings form a record of the plenary lectures delivered at the fifth Conference on Ordinary and Partial Differential Equations which was held at the University of Dundee, Scotland, UK during the period of three days Wednesday to Friday29to31March1978. The Conference was originally conceived as a tribute to Professor Arthur Erdélyi, FRSE, FRS, to mark his then impending retirement from the University of Edinburgh. A number of his colleagues, including David Colton, W N Everitt, R J Knops, A G Mackie, and G F Roach, met in Edinburgh early in1977in order to make provisional arrangements for the Conference programme. At this meeting it was agreed that Arthur Erdélyi should be named as Honorary President of the Conference. A formal invitation to attend the Conference was issued to him in the autumn of1977, and this invitation Arthur Erdélyi gladly accepted, expressing his appreciation for the thought and consideration of his colleagues. Alas, time, in the event, did not allow of these arrangements to come about; Arthur Erdélyi died suddenly and unexpectedly at his home in Edinburgh on12December1977, at the age of69. Nevertheless it was decided to proceed with the Conference; invitations had been issued to a number of former students, collaborators and friends of Arthur Erdélyi to deliver plenary lectures. The Conference was held as a tribute to his memory and to the outstanding and distinguished contribution he had made to mathematical analysis and differential equations.

In Birmingham, Everitt continued to organise conferences and edit proceedings. For example he organised "Inequalities" in 1987. Richard Hall writes in a review of the Proceedings [5]:-

He wrote four important books after he retired. The first, with Lawrence Markus, was the monographHardy, Littlewood and Pólya's 'Inequalities' was published in1934and is still in print. Despite one or two curious omissions it is one of the classics of twentieth century mathematical literature. A London Mathematical Society international conference with the same title, and this book as its theme, was held at Birmingham University in the summer of1987, organised by Professor Norrie Everitt.

*Boundary value problems and symplectic algebra for ordinary differential and quasi-differential operators*(1999). Anton Zetti writes in a review:-

For a version of the Preface of this book, see THIS LINK.With this monograph Everitt and Markus have produced a major advance in our understanding of the structure of self-adjoint boundary conditions for regular and singular linear ordinary differential equations of arbitrary order and with arbitrary deficiency index.

The second of these books, also written jointly with Lawrence Markus, was

*Multi-interval linear ordinary boundary value problems and complex symplectic algebra*(2001). Some of the chapter headings are: Introduction and organisation of results, Some definitions for multi-interval systems Complex symplectic spaces Single interval quasi-differential systems. Multi-interval quasi-differential systems. Boundary symplectic spaces for multi-interval systems. Finite multi-interval systems. Examples of complete Lagrangians.

The third book was

*Elliptic partial differential operators and symplectic algebra*(2003), again written jointly with Lawrence Markus, as was the fourth,

*Infinite dimensional complex symplectic spaces*(2004). The authors write in an Abstract to this 2004 monograph:-

The authors of [4] (or [3] which is similar) write:-Complex symplectic spaces, defined earlier by the authors in their American Mathematican Society Monograph, are non-trivial generalisations of the real symplectic spaces of classical analytical dynamics. These spaces can also be viewed as non-degenerate indefinite inner product spaces, although the authors here follow the lesser known exposition within complex symplectic algebra and geometry, as is appropriate for their prior development of boundary value theory. In the case of finite dimensional complex symplectic spaces it was shown that the corresponding symplectic algebra is important for the description and classification of all self-adjoint boundary value problems for(linear)ordinary differential equations on a real interval. In later American Mathematical Society Memoirs infinite dimensional complex symplectic spaces were introduced for the analysis of multi-interval systems and elliptic partial differential operators. In this current Memoir the authors present a self-contained, systematic investigation of general complex symplectic spaces, and their Lagrangian subspaces, regardless of the finite or infinite dimensionality - starting with axiomatic definitions and leading towards general Glazman-Krein-Naimark(GKN)theorems.

Everitt died in 2011, a month after his 87th birthday. Lance Littlejohn, chairman of the Department of Mathematics at Baylor University, wrote:-Norrie served on the London Mathematical Society(LMS)Council from1957to1962(he was elected a member of the LMS on19December1957), was elected a Fellow of the Royal Society of Edinburgh(1966), served as President of the Edinburgh Mathematical Society(1970-1971), and as Vice President of the Royal Society of Edinburgh(1970-1973). In1978, he was part of the UK delegation to the International Mathematical Union in Helsinki. He made several trips behind the Iron Curtain to ensure the flow of mathematical ideas continued between the East and West. Norrie was a keen student of opera, British history, literature, poetry, trees, films, railroad history, the American West, and was an excellent after-dinner speaker. He had remarkable teaching and blackboard skills. Norrie began writing his well-prepared lectures in the upper left-hand corner of the board and ended his talk, on time, with his customary period(.)in the lower right-hand corner. As technology evolved, Norrie adapted and skilfully delivered Beamer-type presentations.

The conference "Spectral analysis and differential equations, A memorial meeting to mark the life and work of Professor W N Everitt" was held at the University of Cardiff on the 15-17 May 2014. The announcement of the conference stated that Norrie Everitt:-Norrie Everitt: Superb teacher, remarkable mentor, wonderful colleague, and dear friend.

Everitt's wife Kit died in 2013.... a distinguished expert in the field of spectral analysis and differential equations, was a widely acknowledged authority on the spectral theory of differential equations, and inequalities. He made many significant contributions to such topics as the Titchmarsh-Weyl m-function, the deficiency index problem, periodic problems, and the numerical computation of eigenvalues of Sturm-Liouville problems.

**Article by:** *J J O'Connor* and *E F Robertson*

**List of References** (6 books/articles)

**Mathematicians born in the same country**

**Additional Material in MacTutor**

**Honours awarded to Norrie Everitt**

(Click the link below for those honoured in this way)

1. | EMS President | 1970 |

**Other Web sites**