Zero Product Determined Algebras

1. Auflage 2021
ISBN: 978-3-030-80241-7
Verlag: Springer International Publishing

Buch, Englisch, 185 Seiten, Format (B × H): 168 mm x 240 mm, Gewicht: 339 g

Reihe: Frontiers in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Bre¿ar, Matej

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

- Part I Algebraic Theory. - Zero Product Determined Nonassociative Algebras. - Zero Product Determined Rings and Algebras. - Zero Lie/Jordan Product Determined Algebras. - Part II Analytic Theory. - Zero Product Determined Nonassociative Banach Algebras. - Zero Product Determined Banach Algebras. - Zero Lie/Jordan Product Determined Banach Algebras. - Part III Applications. - Homomorphisms and Related Maps. - Derivations and Related Maps. - Miscellany.

Über Autor(innen)

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).