{ "id": "1405.5551", "version": "v3", "published": "2014-05-21T20:31:16.000Z", "updated": "2015-01-15T17:50:57.000Z", "title": "Real positivity and approximate identities in Banach algebras", "authors": [ "David P. Blecher", "Narutaka Ozawa" ], "comment": "47 pages. A substantial revision, correcting the very many typos, and otherwise improving the manuscript, etc. To appear", "categories": [ "math.FA", "math.OA" ], "abstract": "Blecher and Read have recently introduced and studied a new notion of positivity in operator algebras, with an eye to extending certain $C^*$-algebraic results and theories to more general algebras. In the present paper we generalize some part of this, and some other facts, to larger classes of Banach algebras.", "revisions": [ { "version": "v2", "updated": "2014-07-05T01:24:19.000Z", "comment": "39 pages. A slight revision correcting many typo's, and adding a few more details, etc", "journal": null, "doi": null }, { "version": "v3", "updated": "2015-01-15T17:50:57.000Z" } ], "analyses": { "keywords": [ "banach algebras", "approximate identities", "real positivity", "larger classes", "general algebras" ], "note": { "typesetting": "TeX", "pages": 47, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1405.5551B" } } }