Some results of functional analysis for ultrametric spaces and valued vector spaces

DOI10.1007/BF01263478zbMath0836.46075MaRDI QIDQ1900111

Sibylla Priess-Crampe

Publication date: 21 November 1995

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

Hahn-Banach type theoremopen mapping theoremultrametric spacesprinciple of uniform boundednessgeneralization of Baire's theoremtotally ordered value setsvector spaces with value groups of arbitrary rank

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Spaces of linear operators; topological tensor products; approximation properties (46A32) General valuation theory for fields (12J20)

Related Items (4)

Set-valued contraction mappings of Prešić–Reich type in ultrametric spaces ⋮ Some fixed point results in ultrametric spaces ⋮ The Banaschewski compactification revisited ⋮ Remarks on ”Some new fixed point theorems for contractive and nonexpansive mappings”

Cites Work

• The Banach fixed point theorem for ultrametric spaces
• Fixed points, combs and generalized power series
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