Variations of completely bounded maps on operator spaces

Abstract

We introduce weighted cb maps and ${\Lambda }_{\mu }$-cb maps on operator spaces which are generalizations of completely bounded maps and a certain class of bilinear maps on operator spaces which we call ${\lambda }_{\mu }$-cb bilinear maps. Some basic properties of these maps and an operator space tensor product associated to ${\lambda }_{\mu }$-cb bilinear maps have been studied.

15 pages

References in corpus (1)

• Polynomials in operator space theory: matrix ordering and algebraic aspects