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A note on partial isometries on pseudo-Hilbert spaces

2013/02/13 by Păstorel Gaşpar, Gaşpar, Păstorel, Loredana Ciurdariu +1
Mathematics · #46C50 #47B37 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1302.3207

openalex publication_date 2013/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to show that two accessible subspaces in the Loynes Z - space \Hc are the initial and final space of a partial gramian isometry, respectively if the norm of the difference of the associated gramian selfadjoint projections is strictly less than 1.

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