Overview
- Provides the first systematic account of the theory of zero product determined algebras
- Presents applications to various problems in algebra and functional analysis
- Discusses a wide variety of mathematical topics in an accessible manner
Part of the book series: Frontiers in Mathematics (FM)
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About this book
This book provides a concise survey of the theory of zero product-determined algebras, which has been developed over the last 15 years. It is divided into three parts. The first part presents the purely algebraic branch of the theory, the second part presents the functional analytic branch, and the third part discusses various applications.
The book is intended for researchers and graduate students in ring theory, Banach algebra theory, and nonassociative algebra.
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Table of contents (9 chapters)
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Front Matter
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Applications
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Front Matter
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Back Matter
Reviews
“This book is about zero product determined algebras and is written in an attractive way. It deals with the introduction and study of this class of algebras. Most of this book is taken from research articles from the last 15 years and is suitable for researchers in this field and students with different backgrounds and can be used for self-study.” (Hoger Ghahramani, Mathematical Reviews, March, 2023)
Authors and Affiliations
About the author
Matej Brešar is a Professor at University of Ljubljana and the University of Maribor. His research focus lies in noncommutative algebra and its applications. He is the author or co-author of over 160 research papers, the co-author of the monograph Functional Identities (Birkhauser, 2007), and the author of the textbooks Introduction to Noncommutative Algebra (Springer, 2014) and Undergraduate Algebra. A unified Approach (Springer, 2019).
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Bibliographic Information
Book Title: Zero Product Determined Algebras
Authors: Matej Brešar
Series Title: Frontiers in Mathematics
DOI: https://doi.org/10.1007/978-3-030-80242-4
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Softcover ISBN: 978-3-030-80241-7Published: 26 August 2021
eBook ISBN: 978-3-030-80242-4Published: 25 August 2021
Series ISSN: 1660-8046
Series E-ISSN: 1660-8054
Edition Number: 1
Number of Pages: VIII, 185
Topics: Algebra, Functional Analysis, Associative Rings and Algebras, Abstract Harmonic Analysis, Operator Theory