Name: A Multiplier Approach to the Lance-Blecher Theorem
Creator: Michael J. Frank
Keywords: multiplier theory of operator $C^*$-algebras, Mathematics - Functional Analysis, General theory of $C^*$-algebras, Hilbert $C^*$-module theory, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.), 46L99 (Primary) 46H85 (Secondary), Mathematics - Operator Algebras, FOS: Mathematics, 0101 mathematics

A multiplier approach to the Lance-Blecher theorem

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 30 Sep 1997Embargo end date: 01 Jan 1997Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Zeitschrift für Analysis und ihre Anwendungen, volume 16, pages 565-573 (issn: 0232-2064, eissn: 1661-4534,

Authors: Michael J. Frank;

doi: 10.4171/zaa/778 , 10.48550/arxiv.funct-an/9701001

arXiv: http://arxiv.org/abs/funct-an/9701001

A Multiplier Approach to the Lance-Blecher Theorem

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Abstract

A new approach to a theorem of E. C. Lance and D. P. Blecher in Hilbert C* - module theory and to two extensions of it is presented resting on a reinterpretation of key structural elements in terms of multiplier theory of operator C* -algebras. In the course of proving further facts are obtained.

Keywords

multiplier theory of operator $C^*$-algebras, Mathematics - Functional Analysis, General theory of $C^*$-algebras, Hilbert $C^*$-module theory, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.), 46L99 (Primary) 46H85 (Secondary), Mathematics - Operator Algebras, FOS: Mathematics, Operator Algebras (math.OA), Functional Analysis (math.FA)

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