A Spectral Theory Of Noncommuting Operators
Springer International Publishing (Verlag)
978-3-031-51604-7 (ISBN)
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.
Rongwei Yang ( ) 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.
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.
| Erscheinungsdatum | 27.03.2024 |
|---|---|
| Zusatzinfo | XII, 272 p. 9 illus. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | Characteristic Polynomial • Group representation • * matrices • *matrices • projective spectrum • spectral theory |
| ISBN-10 | 3-031-51604-4 / 3031516044 |
| ISBN-13 | 978-3-031-51604-7 / 9783031516047 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
aus dem Bereich
