Linear homeomorphisms of non-classical Hilbert spaces

DOI10.1016/S0019-3577(00)87912-4zbMath1027.46514MaRDI QIDQ698677

Herminia Ochsenius A., Wim H. Schikhof

Publication date: 22 September 2002

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

continuous linear operatorsnorm Hilbert spaces

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Inner product spaces and their generalizations, Hilbert spaces (46C99)

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Norm Hilbert spaces over \(G\)-modules with a convex base ⋮ Remembering W. H. Schikhof ⋮ A new method for comparing two norm Hilbert spaces and their operators ⋮ Norm Hilbert spaces over Krull valued fields ⋮ Generalized open mapping theorem for \(X\)-normed spaces ⋮ A characterization of the Dedekind completion of a totally ordered group of infinite rank

Cites Work

• Ein nicht-klassischer Hilbertscher Raum
• A Solution to Banach's Hyperplane Problem
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