International Journal of Functional Analysis, Operator Theory and Applications
Volume 12, Issue 2, Pages 61 - 82
(December 2020)
http://dx.doi.org/10.17654/FA012020061 |
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ISOMETRIC EMBEDDINGS AND TENSORIAL PROPERTIES OF COMPLETELY BOUNDED OPERATOR SPACES
A. V. Onuche, A. B. Panle and N. N. Araka
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Abstract:
Denoting the Haagerup tensor product by  we show that the inclusion of  into  is a completely bounded isometric isomorphism. Thus, the functor  preserves inclusions iff  is injective. Also, there is a natural completely isometric embedding  |
| Keywords and phrases: operator spaces, bounded maps, isometric embedding.
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