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Inverses of Disjointness Preserving Operators
 
Y. A. Abramovich Indiana University-Purdue University, Indianapolis, IN
A. K. Kitover Community College of Philadelphia, Philadelphia, PA
Front Cover for Inverses of Disjointness Preserving Operators
Available Formats:
Electronic ISBN: 978-1-4704-0270-9
Product Code: MEMO/143/679.E
List Price: $57.00
MAA Member Price: $51.30
AMS Member Price: $34.20
Front Cover for Inverses of Disjointness Preserving Operators
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  • Front Cover for Inverses of Disjointness Preserving Operators
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Inverses of Disjointness Preserving Operators
Y. A. Abramovich Indiana University-Purdue University, Indianapolis, IN
A. K. Kitover Community College of Philadelphia, Philadelphia, PA
Available Formats:
Electronic ISBN:  978-1-4704-0270-9
Product Code:  MEMO/143/679.E
List Price: $57.00
MAA Member Price: $51.30
AMS Member Price: $34.20
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1432000; 162 pp
    MSC: Primary 47; 46; Secondary 54;
    Readership

    Graduate students and research mathematicians interested in operator theory, functional analysis, and vector lattices.

  • Table of Contents
     
     
    • Chapters
    • 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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Volume: 1432000; 162 pp
MSC: Primary 47; 46; Secondary 54;
Readership

Graduate students and research mathematicians interested in operator theory, functional analysis, and vector lattices.

  • Chapters
  • 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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