This is an announcement for the paper "OH-type and OH-cotype of operator spaces and completely summing maps" by Hun Hee Lee.
Abstract: The definition and basic properties of OH-type and OH-cotype of operator spaces are given. We prove that every bounded linear map from C(K) into OH-cotype q (2<= q < infinity) space (including most of commutative L_q-spaces) for a compact set K satisfies completely (q,2)-summing property, a noncommutative analogue of absolutely (q,2)-summing property. At the end of this paper, we observe that ``OH-cotype 2" is equivalent to the previous definition of ``OH-cotype 2" of G. Pisier.
Archive classification: Functional Analysis; Operator Algebras
Remarks: 17 pages
The source file(s), OH-typecotype.tex: 46265 bytes, is(are) stored in gzipped form as 0502302.gz with size 13kb. The corresponding postcript file has gzipped size 80kb.
Submitted from: hunmada@hanmail.net
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