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

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Bibliographic Details
Main Author:	Abramovich, Y. A. (Yuri A.)
Other Authors:	Kitover, A. K. (Arkady K.)
Format:	eBook
Language:	English
Published:	Providence, R.I. : American Mathematical Society, 2000.
Series:	Memoirs of the American Mathematical Society ; no. 679.
Subjects:	Banach modules (Algebra) Operator theory. Banach lattices. MATHEMATICS > Essays. MATHEMATICS > Pre-Calculus. MATHEMATICS > Reference. Banach lattices Operator theory
Online Access:	Click for online access

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 ($r_u$)-complete vector lattices 16. Open problems.

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