Leon Mirsky (1918--1983)

DOI10.1016/0024-3795(84)90017-XzbMath0546.01010WikidataQ56814429 ScholiaQ56814429MaRDI QIDQ798310

Hazel Perfect, H. Burkill

Publication date: 1984

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

bibliographyobituary

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70)

Cites Work

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• Monotonicity
• The norms of adjugate and inverse matrices
• Inequalities for normal and Hermitian matrices
• Group membership in rings of various types
• On a convex set of matrices
• Remarks on an existence theorem in matrix theory due to A. Horn
• An algorithm relating to symmetric matrices
• Majorization of vectors and inequalities for convex functions
• Even doubly-stochastic matrices
• The distribution of values of the partition function in residue classes
• A trace inequality of John von Neumann
• Combinatorial problems on the existence of large submatrices. I
• Combinatorial problems on the existence of large submatrices. II
• Comments on Chebycheff's inequality
• Inequalities and existence theorems in the theory of matrices
• Spectral properties of doubly-stochastic matrices
• Some applications of a minimum principle in linear algebra
• A theorem on common transversals
• An inequality for characteristic roots and singular values of complex matrices
• Comments on certain combinatorial theorems of Ford and Fulkerson
• The areal spread of matrices
• Transversal theory and the study of abstract independence
• Hall's criterion as a 'self-refining' result
• The rank formula of Nash-Williams as a source of covering and packing theorems
• Note on a theorem of Carlitz
• The additive properties of integers of a certain class
• Summation formulae involving arithmetic functions
• A Condition for Diagonability of Matrices
• A Note on Normal Matrices
• The spread of a matrix
• A NOTE ON MATRIX POLYNOMIALS
• Additive Prime Number Theory
• Diagonal Elements of Orthogonal Matrices
• Proofs of Two Theorems on Doubly-Stochastic Matrices
• Inequalities for certain Classes of Convex Functions
• An Existence Theorem for Infinite Matrices
• Maximum Principles in matrix theory
• Matrices with Prescribed Characteristic Roots and Diagonal Elements
• SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
• An Inequality of the Markov–Bernstein Type for Polynomials
• A Note on Cyclotomic Polynomials
• PARTIAL SUMS OF ZEROS OF A POLYNOMIAL
• Results and problems in the theory of doubly-stochastic matrices
• Partitioned transversals
• Problems of Arithmetical Geometry
• On the Trace of Matrix Products
• Applications of the notion of independence to problems of combinatorial analysis
• The Distribution of Positive Elements in Doubly-Stochastic Matrices
• Combinatorial theorems and integral matrices
• TRANSVERSALS OF SUBSETS
• A Footnote to a Minimum Problem of Mordell
• A Dual of Dilworth's Decomposition Theorem
• NOTE ON AN ASYMPTOTIC FORMULA CONNECTED WITH r-FREE INTEGERS
• On Coprime Values Taken by Given Polynomials
• Arithmetical Pattern Problems Relating to Divisibility by r th Powers^*
• The Number of Representations of an Integer as the Sum of a Prime and a k-Free Integer
• A Theorem on Sets of Coprime Integers
• The Distribution of Values of the Divisor Function d(n)
• An Inequality for Positive Definite Matrices
• Extreme points of certain convex polytopes
• Systems of representatives

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