{ "id": "1403.6724", "version": "v1", "published": "2014-03-26T15:55:47.000Z", "updated": "2014-03-26T15:55:47.000Z", "title": "Compact Operators on Hilbert right modules", "authors": [ "Corneliu Constantinescu" ], "comment": "39 pages", "categories": [ "math.OA" ], "abstract": "We generalize some results on compact operators on Hilbert spaces to \"compact\" operators on some Hilbert right W*-modules. We present in this frame the Schatten decomposition of the compact operators, the trace, the Banach Lp-spaces and their duals, the Hilbert-Schmitt operators, and the integral operators as an example of Hilbert-Schmitt operators.", "revisions": [ { "version": "v1", "updated": "2014-03-26T15:55:47.000Z" } ], "analyses": { "subjects": [ "46L08" ], "keywords": [ "compact operators", "hilbert right modules", "hilbert-schmitt operators", "hilbert spaces", "schatten decomposition" ], "note": { "typesetting": "TeX", "pages": 39, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1403.6724C" } } }