Abstract of a paper by Hun Hee Lee
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 The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0502337 or http://arXiv.org/abs/math.FA/0502337 or by email in unzipped form by transmitting an empty message with subject line uget 0502337 or in gzipped form by using subject line get 0502337 to: math@arXiv.org.
participants (1)
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Dale Alspach