Topological approach to unbounded operators on Hilbert \(C^*\)-modules
type: Item
instance of: scholarly article
title: Topological approach to unbounded operators on Hilbert \(C^*\)-modules
zbMATH Open document ID: 1252.46057
DOI: 10.1216/RMJ-2012-42-1-285
author: Kamran Sharifi
published in: Rocky Mountain Journal of Mathematics
publication date: 2012-05-16T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.rmjm/1327329323
review text: The author introduces a suitable topology on the closed unit ball of the space \(B(V,W)\) of all bounded adjointable operators between Hilbert \(C^*\)-modules \(V\) and \(W\) such that the map \(t \mapsto F_t=t(1+t^*t)^{-1/2}\) is a homeomorphism between unbounded regular operators \(R(V,W)\) and \(\{F\in B(V,W): \|F\|\leq 1 \text{~and~ran}(1-F^*F) \text{~is~ dense~ in~} V\}\).
reviewed by: Mohammad Sal Moslehian
Mathematics Subject Classification ID: 46L08
Mathematics Subject Classification ID: 46C05
Mathematics Subject Classification ID: 47L60
Mathematics Subject Classification ID: 47B50
zbMATH DE Number: 6035437
zbMATH Keywords: Hilbert \(C^*\)-module
zbMATH Keywords: gap topology
zbMATH Keywords: unbounded regular operator
MaRDI profile type: Publication
OpenAlex ID: W2069392453
description: scientific article; zbMATH DE number 6035437