Operator spaces which are one-sided M-ideals in their bidual

• Autorzy: Sonia Sharma
• Języki publikacji: EN

Abstrakty

EN

We generalize an important class of Banach spaces, 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-Nikodým property and many more, are retained in the non-commutative setting. We also discuss the dual setting of one-sided L-embedded operator spaces.

Kategorie tematyczne

• 46H10: Ideals and subalgebras
• 46L07: Operator spaces and completely bounded maps
• 46B20: Geometry and structure of normed linear spaces
• 46B28: Spaces of operators; tensor products; approximation properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 196
• Numer: 2
• Strony: 121-141

Daty

wydano

2010

Twórcy

autor

Sonia Sharma

• Department of Mathematics, University of Houston, Houston, TX 77204, U.S.A.

Identyfikatory

DOI

10.4064/sm196-2-2