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https://research.matf.bg.ac.rs/handle/123456789/400| Title: | Compact and "compact" operators on standard Hilbert modules over W<sup>*</sup>-algebras | Authors: | Kečkić, Dragoljub Lazović, Zlatko |
Affiliations: | Mathematical Analysis | Keywords: | Compact operators;Module;Uniform spaces | Issue Date: | 1-May-2018 | Journal: | Annals of Functional Analysis | Abstract: | We construct a topology on the standard Hilbert module l2(A) over a unital W*-algebra A such that any "compact" operator (i.e., any oper- ator in the norm closure of the linear span of the operators of the form x (mapping) z〈 y,x 〉) maps bounded sets into totally bounded sets. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/400 | ISSN: | 20088752 | DOI: | 10.1215/20088752-2017-0053 |
| Appears in Collections: | Research outputs |
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