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The maximal operator space of a normed space

Published online by Cambridge University Press:  20 January 2009

Vern I. Paulsen
Vern I. Paulsen
Affiliation:
Department of Mathematics Univerity of Houston Texas 77204–3476, U.S.A.
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Abstract

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We obtain some new results about the maximal operator space structure which can be put on a normed space. These results are used to prove some dilation results for contractive linear maps from a normed space into B(H). Finally, we prove CB(MIN(X), MAX(y)) = Γ2(X, Y) and apply this result to prove some new Grothendieck-type inequalities and some new estimates on spans of “free” unitaries.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 2 , June 1996 , pp. 309 - 323
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

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