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Inverses of disjointness preserving operators
Author
Title
Inverses of disjointness preserving operators [electronic resource] / Y.A. Abramovich, A.K. Kitover.
ISBN
9781470402709 (online)
Published
Providence, R.I. : American Mathematical Society, 2000.
Physical Description
1 online resource (viii, 164 p.)
Local Notes
Access is available to the Yale community.
Notes
"January 2000, volume 143, number 679 (first of 4 numbers)."
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Description based on print version record.
Access and use
Access restricted by licensing agreement.
Variant and related titles
Memoirs of the American Mathematical Society.
Other formats
Print version: Abramovich, Y. A. Inverses of disjointness preserving operators /
Format
Books / Online
Language
English
Added to Catalog
May 28, 2014
Series
Memoirs of the American Mathematical Society, v. 679
Bibliography
Includes bibliographical references (p. 158-162).
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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