On the ``local theory'' of operator spaces

Details On the ``local theory'' of operator spaces On the ``local theory'' of operator spaces

1992-12-04

arxiv.org/abs/math/9212205v1

Mathematics

Functional Analysis

Scientific paper

In Banach space theory, the ``local theory'' refers to the collection of finite dimensional methods and ideas which are used to study infinite dimensional spaces (see e.g. [P4,TJ]). It is natural to try to develop an analogous theory in the recently developed category of operator spaces [BP,B1-2,BS,ER1-7,Ru]. The object of this paper is to start such a theory. We plan to present a more thorough discussion of the associated tensor norms in a future publication.

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