On a completion of prehilbertian spaces
type: Item
instance of: scholarly article
title: On a completion of prehilbertian spaces
zbMATH Open document ID: 1081.46022
published in: Portugaliae Mathematica. Nova Série
publication date: 2005-06-07T00:00:00Z
full work available at URL: https://eudml.org/doc/52104
review text: 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.
Mathematics Subject Classification ID: 46C07
Mathematics Subject Classification ID: 46C50
Mathematics Subject Classification ID: 47A05
Mathematics Subject Classification ID: 47B99
zbMATH DE Number: 2173974
zbMATH Keywords: pre-Hilbertian spaces
zbMATH Keywords: completion
zbMATH Keywords: paraclosed linear relation
zbMATH Keywords: adjoint
author: Călin-Grigore Ambrozie
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2173974