Dominated Operators

ISBN-13: 9789048155286 / Angielski / Miękka / 2010 / 446 str.

A. G. Kusraev

Opis

This book presents the main results of the last fifteen years on dominated operators, demonstrating a well-developed theory with a wide range of applications. The exposition focuses on the fundamental properties of dominated operators with special emphasis on their particular classes: integral and pseudointegral operators, disjointness preserving and decomposable operators, summing and cyclically compact operators, etc.

Audience: This volume will be of interest to postgraduate students and researchers whose work involves geometric functional analysis, operator theory, vector lattices, measure and integration theory, and mathematical logic and foundations.

Recenzje

"The layout of the book and its exposition are excellent. Two very detailed subjects and symbol indices help considerably to navigate through the text. The book should be in the personal library of any analyst and any scientist interested in order structures and monotone operators. We thank the author for his efforts in producing this fine monograph."
(Mathematical Reviews 2002b)

Spis treści

Foreword to the English Translation. Preface. 1. Boolean Algebras and Vector Lattices. 2. Lattice-Normed Spaces. 3. Positive Operators. 4. Dominated Operators. 5. Disjointness Preserving Operators. 6. Integral Operators. 7. Operators in Spaces with Mixed Norm. 8. Applications of Boolean-Valued Analysis. Appendix. References. Symbol Index. Subject Index.