Ultrametric Banach algebras /
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| Author / Creator: | Escassut, Alain. |
|---|---|
| Imprint: | Singapore ; River Edge, NJ : World Scientific, 2003. |
| Description: | xiii, 275 p. ; 24 cm. |
| Language: | English |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4891406 |
Table of Contents:
- 1. Basic Properties in Commutative Algebra
- 2. Tree Structure
- 3. Ultrametric Absolute Values
- 4. L-Productal Vector Spaces
- 5. Multiplicative Semi-Norms and Shilov Boundary
- 6. Spectral Semi-Norm
- 7. Hensel Lemma
- 8. Infraconnected Sets
- 9. Monotonous Filters
- 10. Circular Filters
- 11. Tree Structure and Metric on Circular Filters
- 12. Rational Functions and Algebras R(D)
- 13. Simple Convergence on Mult(K[x])
- 14. Topologies on MultK[x])
- 15. Spectral Properties and Gelfand Transforms
- 16. Analytic Elements
- 17. Holomorphic Properties on Infraconnected Sets
- 18. T-Filters and T-Sequences
- 19. Applications of T-Filters and T-Sequences
- 20. Analytic Elements on Classic Partitions
- 21. Holomorphic Properties on Partitions
- 22. Shilov Boundary for Algebras H(D, O)
- 23. Holomorphic Functional Calculus
- 24. Uniform K-Banach Algebras and Properties (s) and (q)
- 25. Properties (o) and (q) in Uniform Banach K-Algebras
- 26. Properties (o) and (q) and Strongly Valued Fields
- 27. Multbijective Banach K-Algebras
- 28. Pseudo-Density of Mult[subscript m](A, || . ||)
- 29. Polnorm on Algebras and Algebraic Extensions
- 30. Definition of Affinoid Algebras
- 31. Algebraic Properties of Affinoid Algebras
- 32. Jacobson Radical of Affinoid Algebras
- 33. Salmon's Theorems
- 34. Separable Fields
- 35. Spectral Norm of Affinoid Algebras
- 36. Spectrum of an Element of an Affinoid Algebra
- 37. Krasner-Tate Algebras
- 38. Universal Generators in Tate Algebras
- 39. Mappings from H(D) to the Tree Mult(K[x])
- 40. Continuous Mappings on Mult(K[x])
- 41. Examples and Counterexamples
- 42. Associated Idempotents
- 43. Krasner-Tate Algebras among Banach K-Algebras.