This is an announcement for the paper "Operator Spaces which are one-sided M-Ideals in their bidual" by Sonia Sharma.

Abstract: We generalize an important class of Banach spaces, namely the $M$-embedded Banach spaces, to the non-commutative setting of operator spaces. The one-sided $M$-embedded operator spaces are the operator spaces which are one-sided $M$-ideals in their second dual. We show that several properties from the classical setting, like the stability under taking subspaces and quotients, unique extension property, Radon Nikod$\acute {\rm{y}}$m Property and many more, are retained in the non-commutative setting. We also discuss the dual setting of one-sided $L$-embedded operator spaces.

Archive classification: math.OA math.FA

Mathematics Subject Classification: 46L07, 46B20, 46H10

Remarks: 17 pages

The source file(s), sonia_paper.tex: 68819 bytes, is(are) stored in gzipped form as 0902.4257.gz with size 19kb. The corresponding postcript file has gzipped size 119kb.

Submitted from: sonia@math.uh.edu

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