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On subspaces of a vector space. (Russian) Zbl 0553.46004

Let V be a left vector space over a field. Necessary and sufficient conditions are presented for a class \({\mathcal L}\) of subspaces of V to be the class of all U-closed subspaces for certain total subspace U of the conjugated space \(V^*\). Necessary conditions for the case of a Hilbert space are also obtained.
Reviewer: Z.G.Gorgadze

MSC:

46A20 Duality theory for topological vector spaces
46S10 Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis
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