A Nonarchimedean Stone-Banach Theorem

DOI10.2307/2045952zbMath0645.46065OpenAlexW4236137630MaRDI QIDQ3788547

Edward Beckenstein, Lawrence Narici

Publication date: 1987

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2045952

zbMATH Keywords

classical Stone-Banach theorem fails in the non-archimedean casedisjoint cozero propertylinear isometries that are not of Stone-Banach type

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (12)

When is a separating map biseparating? ⋮ Banach-Stone theorems and separating maps ⋮ Separating maps and the nonarchimedean Hewitt theorem ⋮ Automatic continuity of linear maps on spaces of continuous functions ⋮ Nonarchimedean Šilov boundaries and multiplicative isometries ⋮ Subadditive Banach module valued separating maps ⋮ Disjointness preserving linear operators between Banach algebras of vector-valued functions ⋮ ℕ-compactness and weighted composition maps ⋮ Convolution factorability of bilinear maps and integral representations ⋮ Biseparating linear maps between continuous vector-valued function spaces ⋮ Unnamed Item ⋮ Product factorability of integral Bilinear operators on Banach function spaces

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