Operator Algebras, Toeplitz Operators and Related Topics

This book presents a collection of research papers on general operator algebra theory and concrete classes of operators, with contributions dedicated to Nikolai Vasilevskis on his 70th birthday.

Format: Paperback / softback
Length: 467 pages
Publication date: 02 September 2021
Publisher: Springer Nature Switzerland AG

This comprehensive book presents a meticulously curated collection of cutting-edge research papers that delve into diverse facets of general operator algebra theory and explore a wide array of concrete operator classes, encompassing a diverse range of applications. The majority of the papers featured in this volume were originally presented at the prestigious International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, which took place in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, graced by the presence of over 30 renowned experts in the field, was a special occasion dedicated to celebrating the remarkable contributions of Nikolai Vasilevskis, a visionary figure in the realm of operator algebra. The contributions in this book are a testament to the enduring impact of his work and serve as a valuable resource for scholars and researchers alike.

The book is organized into five distinct sections, each dedicated to exploring different aspects of operator algebra theory and its applications. The first section provides an introduction to the fundamental concepts and principles of operator algebra, including matrix theory, Banach spaces, and the theory of operators. This foundational material sets the stage for the subsequent chapters, which delve into more specialized topics.

The second section focuses on the study of specific classes of operators, such as Toeplitz operators, compact operators, and operators on Hilbert spaces. These operators play crucial roles in various fields, including signal processing, mathematical physics, and quantum mechanics, and the papers in this section explore their properties, applications, and theoretical developments.

The third section explores the connections between operator algebra and other areas of mathematics, such as functional analysis, probability theory, and mathematical physics. These interdisciplinary connections shed light on the broader implications of operator algebra and its applications in various scientific and engineering disciplines.

The fourth section showcases a selection of applications of operator algebra in various fields, including communications, control systems, and signal processing. These real-world examples demonstrate the practical significance of the theory and its ability to address complex problems in a wide range of industries.

The final section provides an overview of recent research trends and open problems in operator algebra. This section encourages further exploration and innovation in the field, highlighting the potential for new discoveries and breakthroughs that can have a profound impact on our understanding of mathematics and its applications.

In conclusion, this book is a invaluable resource for anyone interested in operator algebra theory and its applications. The collection of research papers presented here showcases the latest developments in the field and provides a deep understanding of the theoretical and practical aspects of operator algebra. Whether you are a student, researcher, or professional in mathematics or related fields, this book will undoubtedly enhance your knowledge and inspire your further exploration of this exciting and rapidly evolving area of mathematics.

Weight: 730g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030446536
Edition number: 1st ed. 2020