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Simultaneous Triangularization
This volume is designed to appeal to two different, yet intersecting audiences: linear algebraists and operator theorists. The first half contains a thorough treatment of classical and recent results on triangularization of collections of matrices, while the remainder describes what is known about extensions to linear operators on Banach spaces. It will thus be useful to everyone interested in matrices or operators since the results involve many other topics.
French Hats in Iran
"All memoirs bring the past into the present, but only a few manage to illuminate both simultaneously. French Hats in Iran, a quietly insightful masterpiece of remembrance, belongs in that select group. Heydar Radjavi?s evocations of growing up in Tabriz in the 1930s and 1940s describe a traditionalist Iran grappling with modernity, a process as fraught with contradictions and stresses then as it is in Iran today. In a series of mini-tales, we meet a rich cast of characters: the elderly father who works in the Tabriz bazaar and runs his household according to unbending religious precepts; the resourceful mother who finds ways to enjoy such forbidden frivolities as music; the female playmate who marries at the age of nine; the teacher whose personal journey takes him from strictest piety to political radicalism; and many more. Finding a path through all the complexities is Radjavi himself?a wide-eyed little boy in some episodes, an adventurous teenager in others, and finally a young man preparing to enter a fast-changing world. The tone is always light, the memories wonderfully vivid, and the underlying theme of tension between old and new truly timeless. "
Invariant Subspaces
In recent years there has been a large amount of work on invariant subspaces, motivated by interest in the structure of non-self-adjoint of the results have been obtained in operators on Hilbert space. Some the context of certain general studies: the theory of the characteristic operator function, initiated by Livsic; the study of triangular models by Brodskii and co-workers; and the unitary dilation theory of Sz. Nagy and Foia!? Other theorems have proofs and interest independent of any particular structure theory. Since the leading workers in each of the structure theories have written excellent expositions of their work, (cf. Sz.-Nagy-Foia!? [1], Brodskii [1], and Gohberg-Krein [1], [2]),...
A Glimpse at Hilbert Space Operators
Paul Richard Halmos, who lived a life of unbounded devotion to mathematics and to the mathematical community, died at the age of 90 on October 2, 2006. This volume is a memorial to Paul by operator theorists he inspired. Paul’sinitial research,beginning with his 1938Ph.D. thesis at the University of Illinois under Joseph Doob, was in probability, ergodic theory, and measure theory. A shift occurred in the 1950s when Paul’s interest in foundations led him to invent a subject he termed algebraic logic, resulting in a succession of papers on that subject appearing between 1954 and 1961, and the book Algebraic Logic, published in 1962. Paul’s ?rst two papers in pure operator theory appeare...
Functions of Matrices
“This superb book is timely and is written with great attention paid to detail, particularly in its referencing of the literature. The book has a wonderful blend of theory and code (MATLAB®) so will be useful both to nonexperts and to experts in the field.” — Alan Laub, Professor, University of California, Los Angeles The only book devoted exclusively to matrix functions, this research monograph gives a thorough treatment of the theory of matrix functions and numerical methods for computing them. The author's elegant presentation focuses on the equivalent definitions of f(A) via the Jordan canonical form, polynomial interpolation, and the Cauchy integral formula, and features an empha...
