Paper Information

Title: 

CONTINUITY OF THE WORONOWICZ CORRESPONDENCE IN HILBERT C*-MODULES

Type: PAPER
Author(s): SHARIFI K.*
 
 *DEPARTMENT OF MATHEMATICS, SHAHROOD UNIVERSITY OF TECHNOLOGY
 
Name of Seminar: SEMINAR ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS (SMAA18)
Type of Seminar:  CONFERENCE
Sponsor:  FACULTY OF MATHEMATICAL SCIENCES AND COMPUTER, TARBIAT MOALLEM UNIVERSITY
Date:  2009Volume 18
 
 
Abstract: 

Suppose E is a Hilbert C*-module. The bijective correspondence R(E) ®{FÎB(E) : ççFçç: £ 1 and Ran(1−F*F) is dense in E, which associates to an unbounded regular operator t its Woronowicz transform Ft = t(1+t*t)−1/2 will not be continuous if we equip B(E) with the norm topology. The main goal of our paper is to introduce suitable weaker topologies on B(E) such that the map t ®Ft becomes a topological inclusion.

 
Keyword(s): HILBERT C*-MODULE, UNBOUNDED OPERATORS, GAP TOPOLOGY, STRICT TOPOLOGY, MULTIPLIER ALGEBRA
 
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