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Representation of contractively complemented Hilbertian operator spaces on the Fock space
Author(s):
Matthew
Neal;
Bernard
Russo
Journal:
Proc. Amer. Math. Soc.
134
(2006),
475-485.
MSC (2000):
Primary 46L07
Posted:
July 7, 2005
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Abstract:
The operator spaces  ,  , generalizing the row and column Hilbert spaces, and arising in the authors' previous study of contractively complemented subspaces of  -algebras, are shown to be homogeneous and completely isometric to a space of creation operators on a subspace of the anti-symmetric Fock space. The completely bounded Banach-Mazur distance from  to a row or column space is explicitly calculated.
References:
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Additional Information:
Matthew
Neal
Affiliation:
Department of Mathematics and Computer Science, Denison University, Granville, Ohio 43023
Email:
nealm@denison.edu
Bernard
Russo
Affiliation:
Department of Mathematics, University of California, Irvine, California 92697-3875
Email:
brusso@math.uci.edu
DOI:
10.1090/S0002-9939-05-08130-X
PII:
S 0002-9939(05)08130-X
Keywords:
Hilbertian operator space,
homogeneous operator space,
contractive projection,
creation operator,
anti-symmetric Fock space,
completely bounded Banach-Mazur distance
Received by editor(s):
September 22, 2004
Posted:
July 7, 2005
Communicated by:
David R. Larson
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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