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Tietze extension theorem for Hilbert  -modules |
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| Authors: | Damir Bakic |
| Affiliation: | Department of Mathematics, University of Zagreb, Bijenicka cesta 30, P.O.Box 335, 10002 Zagreb, Croatia |
| Abstract: | We prove the following generalization of the noncommutative Tietze extension theorem: if  is a countably generated Hilbert  -module over a  -unital  -algebra, then the canonical extension  of a surjective morphism  of Hilbert  -modules to extended (multiplier) modules,  , is also surjective. |
| Keywords: | $C^*$-algebra Tietze extension theorem Hilbert $C^*$-module |
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