Isometries of symmetric operator spaces associated with AFD factors of typeII and symmetric vector-valued spaces |
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Authors: | F A Sukochev |
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Institution: | (1) Department of Mathematics and Statistics, The Flinders University of South Australia, GPO Box 2100, 5001 Adelaide, SA, Australia |
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Abstract: | If is a surjective isometry of the separable symmetric operator spaceE(M, ) associated with the approximately finite-dimensional semifinite factorM and if ·
E(M,)
is not proportional to ·
L
2, then there exist a unitary operatorUM and a Jordan automorphismJ ofM such that(x)=UJ(x) for allxME(M, ). We characterize also surjective isometries of vector-valued symmetric spacesF((0, 1), E(M, )).Research supported by the Australian Research Council |
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Keywords: | Primary 46L50 Secondary 47D15 46E30 |
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