Inverses of disjointness preserving operators / Y.A. Abramovich, A.K. Kitover.

Format:

Book

Author/Creator:

Abramovich, Y. A. (Yuri A.), author.

Kitover, A. K. (Arkady K.), author.

Series:

Memoirs of the American Mathematical Society ; no. 679.

Memoirs of the American Mathematical Society, 0065-9266 ; number 679

Language:

English

Subjects (All):

Banach modules (Algebra).

Operator theory.

Banach lattices.

Physical Description:

1 online resource (178 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2000]

Language Note:

English

Summary:

This book is intended for graduate students and research mathematicians interested in operator theory, functional analysis, and vector lattices

Contents:

""Table of Contents""; ""1. Setting forth the problems""; ""2. Some history""; ""3. Synopsis of the main results""; ""4. Preliminaries""; ""5. The McPolin�Wickstead and Huijsmans�de Pagter�Koldunov Theorems revisited""; ""6. d-bases""; ""7. Band preserving operators and band-projections""; ""8. Central operators and Problems A and B""; ""9. Range-domain exchange in the Huijsmans�de Pagter�Koldunov Theorem""; ""10. d-splitting number of disjointness preserving operators""; ""11. Essentially one-dimensional and discrete vector lattices""

""12. Essentially constant functions and operators on C[0,1]""""13. Counterexamples""; ""14. Dedekind complete vector lattices and Problems A and B""; ""15. Generalizations to (r[sub(u)])-complete vector lattices""; ""16. Open problems""; ""References""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""X""; ""Z""

Notes:

"January 2000, volume 143, number 679 (first of 4 numbers)."

Includes bibliographical references (pages 158-162).

Description based on print version record.

ISBN:

1-4704-0270-X