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Journal of the London Mathematical Society 1994 50(1):199-208; doi:10.1112/jlms/50.1.199
© 1994 by London Mathematical Society
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© The London Mathematical Society

Characterizations of Row and Column Hilbert Space

Ben Mathes

Department of Mathematics, University of Houston Houston, Texas 77204-3476, USA

Received 13 October 1992. Revision received 2 February 1993.

Many people have obtained theorems that give necessary and sufficient conditions for a Banach space to be isometrically isomorphic to a Hilbert space. We pursue the analogous problem in the category of operator spaces: we give numerous conditions that characterize row and column Hilbert space. Our techniques enable the calculation of cb-distances between various operator Hilbert spaces.

Present address: Department of Mathematics, Colby College, Waterville, Maine 04901, USA


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