Simultaneous triangularization /
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."--BOOK JACKET.
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| Format: | eBook |
| Language: | English |
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New York :
Springer,
[2000]
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| Series: | Universitext
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Ch. 1. Algebras of Matrices. 1.1. The Triangularization Lemma. 1.2. Burnside's Theorem. 1.3. Triangularizability of Algebras of Matrices. 1.4. Triangularization and the Radical. 1.5. Block Triangularization and Characterizations of Triangularizability. 1.6. Approximate Commutativity. 1.7. Nonassociative Algebras
- Ch. 2. Semigroups of Matrices. 2.1. Basic Definitions and Propositions. 2.2. Permutable Trace. 2.3. Zero-One Spectra
- Ch. 3. Spectral Conditions on Semigroups. 3.1. Reduction to the Field of Complex Numbers. 3.2. Permutable Spectrum. 3.3. Submultiplicative Spectrum. 3.4. Conditions on Spectral Radius. 3.5. The Dominance Condition on Spectra
- Ch. 4. Finiteness Lemmas and Further Spectral Conditions.