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Inverses of disjointness preserving operators / [electronic resource] Y.A. Abramovich, A.K. Kitover.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 679Publication details: Providence, R.I. : American Mathematical Society, 2000.Description: 1 online resource (viii, 164 p.)ISBN:
  • 9781470402709 (online)
Subject(s): Additional physical formats: Inverses of disjointness preserving operators /DDC classification:
  • 510 s 512/.55 21
LOC classification:
  • QA3 .A57 no. 679 QA326
Online resources:
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
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK13132

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

Includes bibliographical references (p. 158-162).

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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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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