A Spectral Theory Of Noncommuting Operators

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...

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Bibliographic Details
Main Author: Yang, Rongwei
Format: eBook
Language:English
Published: Cham Springer Nature Switzerland 2024, 2024
Edition:1st ed. 2024
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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