Non-Associative Normed Algebras

ISBN-13: 9781107043114 / Angielski / Twarda / 2018 / 754 str.

Miguel Cabrera Garcia; Angel Rodriguez Palacios

Opis

The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.

Recenzje

'Just as the first volume of this monograph, the second volume under review here deserves the attention of nearly everybody interested in functional analysis and its applications, as well as of many people with an interest in several complex variables or in the theory of Lie groups. The authors skillfully present in a self-contained and well-motivated manner such basic topics as differential calculus on Banach spaces, infinitedimensional holomorphy, vector fields and their flows, Banach-Lie group structure on the holomorphic automorphisms of a bounded domain in a Banach space, or joint spectral radius in Banach algebras. This book is a really great achievement on the part of the authors and studying it or even parts of it will be both pleasant and profitable to the reader.' Daniel Beltita, Mathematical Reviews

Spis treści

Preface; 5. Non-commutative JBW*-algebras, JB*-triples revisited, and a unit-free Vidav–Palmer type non-associative theorem; 6. Representation theory for non-commutative JB*-algebras and alternative C*-algebras; 7. Zel'manov approach; 8. Selected topics in the theory of non-associative normed algebras; Bibliography of Volume 1; Additional bibliography to Volume 2; Symbol index for Volume 1; Subject index for Volume 1; Symbol index for Volume 2; Subject index for Volume 2.