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On the bounded part of a Hilbert module over a locally C *-algebra |
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| Authors: | Joiţa Maria |
| Institution: | (1) Department of Mathematics, Faculty of Chemistry, University of Bucharest, Bd. Regina Elisabeta nr. 4-12, Bucharest, Romania |
| Abstract: | We will show that the bounded part of the locally C*-algebra of all adjointable operators on the Hilbert A-module E is isomorphic to the C*-algebra L b(A)(b(E)) of all adjointable operators on the Hilbert b(A)-module b(E). This revised version was published online in June 2006 with corrections to the Cover Date. |
| Keywords: | locally C*-algebras Hilbert C*-modules over locally C*-algebras bounded part of a Hilbert C*-module over a locally C*-algebra adjointable module homomorphisms |
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