Theoretical Statistics and Mathematics Unit, ISI Delhi

November 12, 2014 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Vandana Rajpal,
Shivaji College, Delhi University, Delhi

Title:
Schur tensor product of operator spaces

Abstract of Talk

In recent years, the fundamental and systematic developments in the theory of tensor product of operator spaces have been evolved considerably. In this category, the Haagerup tensor norm is the natural one for compatibility with the continuity of the completely bounded bilinear maps, and the operator space projective tensor norm is for the jointly completely bounded bilinear maps.
We develop a systematic study of Schur tensor product both in the category of operator spaces and in that of $C^{\ast}$-algebras. Indeed, we prove that the most of the elementary theory of operator space projective tensor norm generalizes to the Schur tensor norm. This is a joint --work with Ajay Kumar and Takashi Itoh.