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The Banach-Lie algebra of multiplication operators on a JBW*-triple

Abstract:

The Banach-Lie algebra L (A) of multiplication operators on the JB*-triple A is introduced and it is shown that the hermitian part L (A)h of L (A) is a unital GM-space the base of the dual cone in the dual GL-space (L (A)h)* of which is affine isomorphic and weak*-homeomorphic to the state space of L (A). In the case in which A is a JBW*-triple, it is shown that tripotents u and v in A are orthogonal if and only if the corresponding multiplication operators in the unital GM-space L (A)h satis...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher version

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Publisher copy:
10.1016/j.jfa.2008.02.005

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Publisher:
Elsevier B.V. Publisher's website
Journal:
JOURNAL OF FUNCTIONAL ANALYSIS Journal website
Volume:
254
Issue:
11
Pages:
2866-2892
Publication date:
2008-06-01
DOI:
EISSN:
1096-0783
ISSN:
0022-1236
URN:
uuid:08667051-7f70-42d0-90f2-523318bc1c1b
Source identifiers:
5847
Local pid:
pubs:5847
Language:
English
Keywords:

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