Spectral Theory Of Noncommuting Operators

Inbunden, Engelska, 2024

AvRongwei Yang

1 039 kr

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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

Utgivningsdatum2024-03-26
Mått155 x 235 x 20 mm
Vikt644 g
FormatInbunden
SpråkEngelska
Antal sidor272
Upplaga2024
FörlagSpringer International Publishing AG
ISBN9783031516047

Tillhör följande kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

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.