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Inverses of disjointness preserving operators

Author: Y A Abramovich; A K Kitover
Publisher: Providence, R.I. : American Mathematical Society, 2000.
Series: Memoirs of the American Mathematical Society, no. 679.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:

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

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Abramovich, Y.A.
Inverses of disjointness preserving operators /
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Y A Abramovich; A K Kitover
ISBN: 9781470402709 147040270X
OCLC Number: 851088611
Notes: "January 2000, volume 143, number 679 (first of 4 numbers)."
Description: 1 online resource (viii, 164 pages).
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.
Series Title: Memoirs of the American Mathematical Society, no. 679.
Responsibility: Y.A. Abramovich, A.K. Kitover.

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