Spectral Theory Of Noncommuting Operators

AvRongwei Yang

Häftad, Engelska, 2025

612 kr

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Inbunden

831 kr

E-bok

797 kr

Beskrivning

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.

Produktinformation

Utgivningsdatum:2025-03-26
Mått:155 x 235 x 15 mm
Vikt:486 g
Format:Häftad
Språk:Engelska
Antal sidor:272
Förlag:Springer International Publishing AG
ISBN:9783031516078

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Rongwei Yang (杨容伟) is a professor of mathematics at the University at Albany, the State University of New York. His research interest includes a wide range of fields in mathematics and math physics. Several of his projects have been supported by the National Science Foundation and the Simons Foundation.

Innehållsförteckning

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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Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology

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