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Simultaneous Triangularization
by Radjavi, Heydar, and Rosenthal, Peter

Overview -
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.

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Alibris
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Simultaneous TriangularizationSimultaneous Triangularization (Paperback)
Pub. Date: 2017
Publisher: Springer
Price: $108.53
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Simultaneous Triangularization (Universitext)Simultaneous Triangularization (Universitext) (Trade paperback)
Pub. Date: 2000
Publisher: Springer
Price: $45.10
Seller: Phatpocket Limited, Waltham Abbey, Essex, GBR
Condition: Good
Notes: Ships from UK in 48 hours or less (usually same day). Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. 100% money back guarantee. We are a world class secondhand bookstore based in Hertfordshire, United Kingdom and specialize in high quality textbooks across an enormous variety of subjects. We aim to provide a vast range of textbooks, rare and collectible books at a great price. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. We provide a 100% money back guarantee and are dedicated to providing our customers with the highest standards of service in the bookselling industry.
 
 
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    Simultaneous Triangularization (PF)
    Pub. Date: 2000-01
    Publisher: Springer
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    Simultaneous Triangularization (Softcover)
    Pub. Date: 1/14/2000 12: 00: 00 AM
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    Simultaneous Triangularization (Trade paperback)
    Pub. Date: 2000
    Publisher: Springer
    Condition: Very good. Minimal wear to cover

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    Simultaneous Triangularization (PAPERBACK)
    Pub. Date: 2000
    Publisher: Springer
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More About Simultaneous Triangularization by Radjavi, Heydar, and Rosenthal, Peter
 
 
 
Overview

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.

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Details
  • PID: 10104096162
  • ISBN-13: 9780387984667
  • Publisher: Springer
  • Seller: Alibris
    Condition: New.
    Notes: Trade paperback (US). Glued binding. 319 p. Contains: Illustrations, black & white. Universitext.