A Spectral Theory Of Noncommuting Operators

Rongwei Yang

ISBN 10: 3031516044 / ISBN 13: 9783031516047

Verlag: Springer Nature Switzerland, Springer Nature Switzerland Mär 2024, 2024

Beschreibung

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 284 pp. Englisch.

Bestandsnummer des Verkäufers 9783031516047

Bibliografische Details

• Titel: A Spectral Theory Of Noncommuting Operators
• Verlag: Springer Nature Switzerland, Springer Nature Switzerland Mär 2024
• Erscheinungsjahr: 2024
• Sprache: Englisch
• ISBN-10: 3031516044
• ISBN-13: 9783031516047
• Einband: Buch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

​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.