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• # Książka - szczegóły

Tytuł książki

## Metric generalizations of Banach algebras

### Seria

Rozprawy Matematyczne tom/nr w serii: 47 wydano: 1965

### Abstrakty

EN

CONTENTS
PRELIMINARIES
§ 0. Introduction.......................................................................................................................................................................3
§ 1. Definitions and notation.................................................................................................................................................5
Chapter I
LOCALLY BOUNDED ALGEBRAS
§ 2. Basic facts and examples..............................................................................................................................................6
§ 3. Commutative p-normed algebras, spectral form and p-normed field..................................................................8
§ 4. Commutative p-normed algebras (continued)..........................................................................................................12
§ 5. Analytic functions in p-normed algebras.....................................................................................................................16
§ 6. Final remarks...................................................................................................................................................................21
Chapter II
F-ALGEBRAS AND TOPOLOGICAL ALGEBRAS
§ 7. F-algebras.........................................................................................................................................................................23
§ 8. Topological division algebras.......................................................................................................................................26
Chapter III
$B_0$-ALGEBRAS
§ 9. Basic facts.........................................................................................................................................................................29
§ 10. Multiplicatively convex B_0-algebras.........................................................................................................................31
§ 11. Spectra and power series in commutative m-convex $B_0$-algebras..............................................................34
§ 12. Examples of non-m-convex $B_0$-algebras..........................................................................................................40
§ 13. Extended spectrum; theorem on entire functions and its applications to Q-algebras and radicals.............44
§ 14. Elementary properties of entire functions and characterization of commutative $B_0$-algebras with and without entire functions..................................................................................................................................................51
§ 15. Entire operations in $B_0$-spaces and their applications to entire functions.................................................56
§ 16. Final remarks.................................................................................................................................................................65
References...............................................................................................................................................................................68

Warszawa

### Seria

Rozprawy Matematyczne tom/nr w serii: 47

70

### Opis fizyczny

Rozprawy Matematyczne XLVII

wydano
1965

### Twórcy

autor
• Institute of Mathematics of the Polish Academy of Sciences and Yale University

### Bibliografia

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 EN