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by Alain Escassut
The Shilov boundary does exist for normed ultrametric algebras. In uniform Banach algebras, the spectral norm is equal to the supremum of all continuous multiplicative seminorms whose kernel is a maximal ideal. Two different such seminorms can have the same kernel. Krasner-Tate algebras are characterized among Krasner algebras, affinoid algebras, and.
Ultrametric Banach Algebras by Escassut Alain and Publisher World Scientific. Save up to 80% by choosing the eTextbook option for ISBN: 9789812775603, 9812775609. The print version of this textbook is ISBN: 9789812381941, 9812381945. Note that the availability of products for purchase is based on the country of your billing address. Some items may have regional restrictions for purchase. Canadian customers may purchase from our stores in Canada or the US. Canada.
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Let K be a complete ultrametric algebraically closed field and let A be the Banach K-algebra of bounded analytic functions in the ‘open’ unit disc D of K provided with the Gauss norm. In a previous paper, Mainetti and Escassut showed that if each maximal ideal of A is the kernel of a unique φ Mult(m(A, · ), then the answer to the first question is affirmative.
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Find many great new & used options and get the best deals for Ultrametric Banach Algebras by Alain Escassut . Edexcel GCSE (9-1) Mathematics: Higher Student Book by Pearson Education Limited (Paperback, 2015).
Edexcel GCSE (9-1) Mathematics: Higher Student Book by Pearson Education Limited (Paperback, 2015).
Escassut, Ultrametric Banach Algebras (World Scientific, Singapore, 2003)CrossRefGoogle Scholar. A. Escassut, N. Maïnetti, Multiplicative spectrum of ultrametric Banach algebras of continuous functions. 3. Maïnetti, Spectral semi-norm of a p-adic Banach Algebra.
Ultrametric Banach algebras. Author: Alain Escassut.