This is an announcement for the paper "Weak OH-type 2 and weak OH-cotype 2 of operator spaces" by Hun Hee Lee.
Abstract: Recently, OH-type and OH-cotype of operator spaces, an operator space version of type and cotype, were introduced and investigated by the author. In this paper we define weak OH-type 2 (resp. weak OH-cotype 2) of operator spaces, which lies strictly between OH-type 2 (resp. OH-cotype 2) and OH-type $p$ for all $1 \leq p < 2$. (resp. OH-cotype $q$ for all $2< q <= \infty$) This is an analogue of weak type 2 and weak cotype 2 in Banach space case, so we develop analogous theory focusing on the local properties of spaces with such conditions.
Archive classification: Functional Analysis; Operator Algebras
Remarks: 21 pages
The source file(s), WeakOH.tex: 55124 bytes, is(are) stored in gzipped form as 0502337.gz with size 15kb. The corresponding postcript file has gzipped size 85kb.
Submitted from: hunmada@hanmail.net
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