Abstract of a paper by Sonia Sharma
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 The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0902.4257 or http://arXiv.org/abs/0902.4257 or by email in unzipped form by transmitting an empty message with subject line uget 0902.4257 or in gzipped form by using subject line get 0902.4257 to: math@arXiv.org.
participants (1)
-
alspach@fourier.math.okstate.edu