scientific article; zbMATH DE number 5244052

zbMath1432.46029arXivmath/0604495MaRDI QIDQ5446157

Eberhard Mayerhofer

Publication date: 6 March 2008

Full work available at URL: https://arxiv.org/abs/math/0604495

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zbMATH Keywords

Hahn-Banach extension theoremspherical completenessColombeau generalized numbers

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (6)

Probabilistic properties of generalized stochastic processes in algebras of generalized functions ⋮ New topologies on Colombeau generalized numbers and the Fermat-Reyes theorem ⋮ A Convenient Notion of Compact Set for Generalized Functions ⋮ Strongly internal sets and generalized smooth functions ⋮ Internal sets and internal functions in Colombeau theory ⋮ Penot's compactness property in ultrametric spaces with an application

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