Leon Mirsky
Mathematician
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(Suggest an Edit or Addition)According to Wikipedia, Leonid Mirsky was a Russian-British mathematician who worked in number theory, linear algebra, and combinatorics. Mirsky's theorem is named after him. Biography Mirsky was born in Russia on 19 December 1918 to a medical family, but his parents sent him to live with his aunt and uncle, a wool merchant in Germany, when he was eight. His uncle's family moved to Bradford, England in 1933, bringing Mirsky with them. He studied at Herne Bay High School and King's College, London, graduating in 1940. Because of the evacuation of London during the Blitz, students at King's College were moved to Bristol University, where Mirsky earned a master's degree. He took a short-term faculty position at Sheffield University in 1942, and then a similar position in Manchester; he returned to Sheffield in 1945, where he would stay for the rest of his career. He became a lecturer in 1947, earned a Ph.D. from Sheffield in 1949, became senior lecturer in 1958, reader in 1961, and was given a personal chair in 1971.
Leon Mirsky's Published Works
Published Works
- The Theory of Matrices (1961) (2657)
- SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS (1960) (604)
- An introduction to linear algebra (1957) (355)
- A trace inequality of John von Neumann (1975) (308)
- A Dual of Dilworth's Decomposition Theorem (1971) (130)
- The spread of a matrix (1956) (124)
- Results and problems in the theory of doubly-stochastic matrices (1963) (104)
- Matrices with Prescribed Characteristic Roots and Diagonal Elements (1958) (89)
- On the Trace of Matrix Products (1959) (78)
- Applications of the notion of independence to problems of combinatorial analysis (1967) (67)
- Spectral properties of doubly-stochastic matrices (1965) (64)
- Systems of representatives (1966) (61)
- Inequalities for normal and Hermitian matrices (1957) (60)
- NOTE ON AN ASYMPTOTIC FORMULA CONNECTED WITH r-FREE INTEGERS (1947) (51)
- On a convex set of matrices (1959) (51)
- Arithmetical Pattern Problems Relating to Divisibility by rth Powers (1948) (51)
- The Distribution of Positive Elements in Doubly‐Stochastic Matrices (1965) (49)
- The Number of Representations of an Integer as the Sum of a Prime and a k-Free Integer (1949) (48)
- Proofs of two theorems on doubly-stochastic matrices (1958) (42)
- The Distribution of Values of the Divisor Function d(n) (1952) (38)
- Combinatorial theorems and integral matrices (1968) (32)
- On the frequency of pairs of square-free numbers with a given difference (1949) (31)
- Inequalities and existence theorems in the theory of matrices (1964) (30)
- Additive Prime Number Theory (1958) (26)
- The distribution of values of the partition function in residue classes (1983) (23)
- Summation formulae involving arithmetic functions (1949) (17)
- Permutation endomorphisms and refinement of a theorem of Birkhoff (1960) (17)
- Inequalities for certain Classes of Convex Functions (1959) (15)
- Even doubly-stochastic matrices (1961) (13)
- Comments on Chebycheff's inequality (1975) (13)
- On a Generalization of Hadamard's determinantal inequality due to Szász (1957) (12)
- An Inequality for Positive Definite Matrices (1955) (12)
- On the Minimization of Matrix Norms (1958) (12)
- An Inequality of the Markov–Bernstein Type for Polynomials (1983) (11)
- Systems of representatives with repetition (1967) (11)
- Maximum Principles in matrix theory (1958) (10)
- Majorization of vectors and inequalities for convex functions (1961) (10)
- Extreme points of certain convex polytopes (1964) (10)
- TRANSVERSALS OF SUBSETS (1966) (10)
- Combinatorial problems on the existence of large submatrices I (1973) (9)
- The areal spread of matrices (1969) (9)
- Group membership in rings of various types (1958) (9)
- The norms of adjugate and inverse matrices (1956) (8)
- Modern University Algebra (1968) (8)
- An Existence Theorem for Infinite Matrices (1961) (7)
- On a theorem in the additive theory of numbers due to evelyn and linfoot (1948) (6)
- A Condition for Diagonability of Matrices (1956) (6)
- An inequality for characteristic roots and singular values of complex matrices (1966) (5)
- Matrices : their meaning and manipulation (1965) (5)
- XLIX.—Generalizations of a Problem of Pillai (1949) (4)
- A NOTE ON MATRIX POLYNOMIALS (1957) (4)
- Some applications of a minimum principle in linear algebra (1963) (4)
- Estimates of Zeros of a Polynomial (1962) (4)
- Hall's criterion as a ‘self-refining’ result (1969) (4)
- A theorem on common transversals (1968) (4)
- THE THEORY OF MATRICES IN NUMERICAL ANALYSIS (1965) (4)
- Transversal theory and the study of abstract independence (1969) (3)
- A Note on Cyclotomic Polynomials (1962) (3)
- Diagonal Elements of Orthogonal Matrices (1959) (3)
- Comments on certain combinatorial theorems of Ford and Fulkerson (1968) (3)
- A Footnote to a Minimum Problem of Mordell (1973) (3)
- Remarks on an existence theorem in matrix theory Due to A. Horn (1959) (2)
- LX. Note on certain integrals involving Hermite's polynomials (1944) (2)
- Studies in pure mathematics : papers in combinatorial theory, analysis, geometry, algebra, and the theory of numbers presented to Richard Rado on the occasion of his sixty-fifth birthday (1971) (2)
- A Note on Normal Matrices (1956) (2)
- An algorithm relating to symmetric matrices (1960) (2)
- The additive properties of integers of a certain class (1948) (2)
- The rank formula of Nash-Williams as a source of covering and packing theorems (1973) (2)
- Problems of Arithmetical Geometry (1960) (2)
- 2072. The probability integral (1949) (1)
- Note on a theorem of Carlitz (1948) (1)
- On Coprime Values Taken by Given Polynomials (1948) (1)
- Introduction to Matrix Algebra (1969) (1)
- PARTIAL SUMS OF ZEROS OF A POLYNOMIAL (1962) (1)
- On the number of representations of an integer as the sum of three r-free integers (1947) (1)
- A Theorem on Sets of Coprime Integers (1950) (1)
- METHODS OF MATRIX ALGEBRA (1967) (0)
- Review: J. E. Graver and M. E. Watkins, Combinatorics with emphasis on the theory of graphs (1979) (0)
- RECENT ADVANCES IN MATRIX THEORY (1965) (0)
- Correction: Diagonal Elements of Orthogonal Matrices (1959) (0)
- Maths for Engineers (1969) (0)
- A Course of Higher Mathematics. Volume 3, Part 1: Linear Algebra (1965) (0)
- Partitioned transversals (1974) (0)
- Combinatorial problems on the existence of large submatrices II (1977) (0)
- Elementary Matrix Theory (1960) (0)
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