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The central hull and central kernel in JBW*-triples

Abstract:

The complete lattice J(A) of weak*-closed inner ideals in a JBW*-triple A has as its centre the complete Boolean algebra LJ(A) of weak*-closed ideals in A. The annihilator L of the subset L of A consists of elements b of A for which {L b A} is equal to zero, and the kernel Ker(L) of L consists of those elements b in A for which {L b L} is equal to zero. For each element J of J(A), J also lies in J(A), and A enjoys the generalized ...

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

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Publisher copy:
10.1006/jabr.2001.9097

Authors


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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
G. T. Ruttimann More by this author
Schweizerischer Nationalfonds More from this funder
Publisher:
Elsevier B.V. Publisher's website
Journal:
Journal of Algebra Journal website
Volume:
250
Issue:
1
Pages:
90-114
Publication date:
2002-04-05
DOI:
ISSN:
0021-8693
URN:
uuid:4ab1cdce-a5e0-439e-8ee9-f6c0974f75ec
Source identifiers:
12672
Local pid:
pubs:12672

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