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Synopsis
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.
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- PublisherSpringer
- Publication date2000
- ISBN 10 0387984674
- ISBN 13 9780387984674
- BindingHardcover
- LanguageEnglish
- Number of pages331
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Simultaneous Triangularization
Published by
Springer New York Jan 2000, 2000
ISBN 10: 0387984674
ISBN 13: 9780387984674
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 336 pp. Englisch. Seller Inventory # 9780387984674
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Simultaneous Triangularization
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 th. Seller Inventory # 5913317
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Simultaneous Triangularization
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Springer New York, Springer New York, 2000
ISBN 10: 0387984674
ISBN 13: 9780387984674
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - A collection of matrices is said to be triangularizable if there is an invertible matrix S such that S1 AS is upper triangular for every A in the collection. This generalization of commutativity is the subject of many classical theorems due to Engel, Kolchin, Kaplansky, McCoy and others. The concept has been extended to collections of bounded linear operators on Banach spaces: such a collection is defined to be triangularizable if there is a maximal chain of subspaces of the Banach space, each of which is invariant under every member of the collection. Most of the classical results have been generalized to compact operators, and there are also recent theorems in the finite-dimensional case. This book is the first comprehensive treatment of triangularizability in both the finite and infinite-dimensional cases. It contains numerous very recent results and new proofs of many of the classical theorems. It provides a thorough background for research in both the linear-algebraic and operator-theoretic aspects of triangularizability and related areas. More generally, the book will be useful to anyone interested in matrices or operators, as many of the results are linked to other topics such as spectral mapping theorems, properties of spectral radii and traces, and the structure of semigroups and algebras of operators. It is essentially self-contained modulo solid courses in linear algebra (for the first half) and functional analysis (for the second half), and is therefore suitable as a text or reference for a graduate course. Seller Inventory # 9780387984674
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Simultaneous Triangularization
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Simultaneous Triangularization
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Springer-Verlag New York Inc., 2000
ISBN 10: 0387984674
ISBN 13: 9780387984674
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Simultaneous Triangularization
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Condition: New. Print on Demand pp. 338 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam. Seller Inventory # 5019813
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