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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

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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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 143; 2000; 162 ppMSC: Primary 47; 46; Secondary 54;Readership
Graduate students and research mathematicians interested in operator theory, functional analysis, and vector lattices.
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Table of Contents
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Chapters
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1. Setting forth the problems
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2. Some history
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3. Synopsis of the main results
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4. Preliminaries
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5. The McPolin-Wickstead and Huijsmans-de Pagter-Koldunov theorems revisited
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6. d-bases
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7. Band preserving operators and band-projections
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8. Central operators and problems A and B
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9. Range-domain exchange in the Huijsmans–de Pagter–Koldunov-theorem
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10. d-splitting number of disjointness preserving operators
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11. Essentially one-dimensional and discrete vector lattices
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12. Essentially constant functions and operators on $C$[0,1]
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13. Counterexamples
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14. Dedekind complete vector lattices and Problems A and B
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15. Generalizations to ($r_u$)-complete vector lattices
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16. Open problems
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- Book Details
- Table of Contents
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- Request Review Copy
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Volume: 143; 2000; 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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