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240403 ||| eng |
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|a 9783031516054
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| 100 |
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|a Yang, Rongwei
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| 245 |
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|a A Spectral Theory Of Noncommuting Operators
|h Elektronische Ressource
|c by Rongwei Yang
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| 250 |
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|a 1st ed. 2024
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| 260 |
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|a Cham
|b Springer Nature Switzerland
|c 2024, 2024
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| 300 |
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|a XII, 272 p. 9 illus
|b online resource
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| 505 |
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|a 1 Characteristic Polynomial in Several Variables -- 2 Finite Dimensional Group Representations -- 3 Finite Dimensional Lie Algebras -- 4 Projective Spectrum in Banach Algebras -- 5 The C⇤-algebra of the Infinite Dihedral Group -- 6 The Maurer-Cartan Form of Operator Pencils -- 7 Hermitian Metrics on the Resolvent Set -- 8 Compact Operators and Kernel Bundles -- 9 Weak Containment and Amenability -- 10 Self-similarity and Julia Sets -- References
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| 653 |
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|a Functional analysis
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| 653 |
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|a Functional Analysis
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 028 |
5 |
0 |
|a 10.1007/978-3-031-51605-4
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| 856 |
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|u https://doi.org/10.1007/978-3-031-51605-4?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 515.7
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| 520 |
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|a The main goal of this book is to describe various aspects of the theory of joint spectra for matrices and linear operators. It is suitable for a graduate-level topic course in spectral theory and/or representation theory. The first three chapters can also be adopted for an advanced course in linear algebra. Centered around the concept of projective spectrum, the book presents a coherent treatment of fundamental elements from a wide range of mathematical disciplines, such as complex analysis, complex dynamics, differential geometry, functional analysis, group theory, and Lie algebras. Researchers and students, particularly those who aspire to gain a bigger picture of mathematics, will find this book both informative and resourceful
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