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Central kernels of subspaces of JB*-triples

Abstract:

An investigation of the norm central kernel kn(L) of an arbitrary norm-closed subspace L of a JB*-triple and the central kernel k(L) of a weak*-closed subspace L of a JBW*-triple is carried out. It is shown that these geometrically defined objects have purely algebraic characterizations, the results providing new information about C*-algebras and W*-algebras.

Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.jmaa.2006.10.060

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Publisher:
Elsevier
Journal:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS More from this journal
Volume:
332
Issue:
2
Pages:
947-964
Publication date:
2007-08-15
DOI:
ISSN:
0022-247X


Keywords:
Pubs id:
pubs:14723
UUID:
uuid:ff42fd6f-4e05-405e-81b3-8c6453800752
Local pid:
pubs:14723
Source identifiers:
14723
Deposit date:
2012-12-19
ARK identifier:

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