On a completion of prehilbertian spaces (Q1780142)

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scientific article; zbMATH DE number 2173974
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On a completion of prehilbertian spaces
scientific article; zbMATH DE number 2173974

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    On a completion of prehilbertian spaces (English)
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    7 June 2005
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    Summary: We define and study a completion of a prehilbertian space, associated to a family of linear subspaces endowed with linear topologies such that the inclusions are continuous. This provides, in particular, an orthogonal complement of paraclosed subspaces and an adjoint of paraclosed linear relations.
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    pre-Hilbertian spaces
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    completion
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    paraclosed linear relation
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    adjoint
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