arXiv:1405.5551 Abstract | arXiv Analytics

arXiv:1405.5551 [math.FA]Abstract References Reviews Resources

Real positivity and approximate identities in Banach algebras

Published 2014-05-21, updated 2015-01-15Version 3

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.

Comments: 47 pages. A substantial revision, correcting the very many typos, and otherwise improving the manuscript, etc. To appear

Categories: math.FA, math.OA

Keywords: banach algebras, approximate identities, real positivity, larger classes, general algebras

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