Accessibility navigation

On the operator space structure of Hilbert spaces

Bunce, L. J. and Timoney, R. M. (2011) On the operator space structure of Hilbert spaces. Bulletin of the London Mathematical Society, 43 (6). pp. 1205-1218. ISSN 0024-6093

Full text not archived in this repository.

It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing.

To link to this item DOI: 10.1112/blms/bdr054


Operator spaces of Hilbertian JC∗ -triples E are considered in the light of the universal ternary ring of operators (TRO) introduced in recent work. For these operator spaces, it is shown that their triple envelope (in the sense of Hamana) is the TRO they generate, that a complete isometry between any two of them is always the restriction of a TRO isomorphism and that distinct operator space structures on a fixed E are never completely isometric. In the infinite-dimensional cases, operator space structure is shown to be characterized by severe and definite restrictions upon finite-dimensional subspaces. Injective envelopes are explicitly computed.

Item Type:Article
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:28711
Publisher:London Mathematical Society

University Staff: Request a correction | Centaur Editors: Update this record

Page navigation