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Locally Multiplicatively-Convex Topological Algebras
| eBook ISBN: | 978-0-8218-9906-9 |
| Product Code: | MEMO/1/11.E |
| List Price: | $19.00 |
| MAA Member Price: | $17.10 |
| AMS Member Price: | $15.20 |
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Locally Multiplicatively-Convex Topological Algebras
| eBook ISBN: | 978-0-8218-9906-9 |
| Product Code: | MEMO/1/11.E |
| List Price: | $19.00 |
| MAA Member Price: | $17.10 |
| AMS Member Price: | $15.20 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 1; 1952; 82 ppMSC: Primary 46
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Table of Contents
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Chapters
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Introduction
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Introduction to second printing
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Supplementary bibliography
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Conventions and notations
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1. Idempotent and $m$-convex sets
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2. Definition and fundamental properties of locally $m$-convex algebras
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3. Examples of complete locally $m$-convex algebras of complex-valued functions
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4. $\mathscr {F}$-algebras and their relatives
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5. Complete locally $m$-convex algebras
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6. Multiplicative linear functionals and symmetry
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7. Miscellaneous relations between $A$ and $\{A_i\}$
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8. Functional representation theory
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9. Closed regular maximal one sided ideals
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10. Some theorems of Gelfand
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11. Topological divisors of zero
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12. Continuity of multiplicative linear functionals
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13. Elements with bounded spectrum
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14. Uniqueness of topology
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15. $\mathscr {LF}$-algebras
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
Chapters
-
Introduction
-
Introduction to second printing
-
Supplementary bibliography
-
Conventions and notations
-
1. Idempotent and $m$-convex sets
-
2. Definition and fundamental properties of locally $m$-convex algebras
-
3. Examples of complete locally $m$-convex algebras of complex-valued functions
-
4. $\mathscr {F}$-algebras and their relatives
-
5. Complete locally $m$-convex algebras
-
6. Multiplicative linear functionals and symmetry
-
7. Miscellaneous relations between $A$ and $\{A_i\}$
-
8. Functional representation theory
-
9. Closed regular maximal one sided ideals
-
10. Some theorems of Gelfand
-
11. Topological divisors of zero
-
12. Continuity of multiplicative linear functionals
-
13. Elements with bounded spectrum
-
14. Uniqueness of topology
-
15. $\mathscr {LF}$-algebras
Review Copy – for publishers of book reviews
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