Seminar at SMU Delhi

March 5, 2014 (Wednesday) , 3:30 PM at Webinar
Speaker: Priyanka Grover, Indian Statistical Institute, Delhi
Title: Characterization of Birkhoff-James orthogonality
Abstract of Talk
The Birkhoff-James orthogonality is a generalization of Hilbert space orthogonality to normed spaces. We shall investigate this notion of orthogonality in the space of square matrices, with interesting matrix norms. These can be used to get some distance formulas, which we shall describe. Further, we shall characterize the Birkhoff-James orthogonality for elements of a Hilbert C*-module in terms of states of the underlying $C^{\ast}$-algebra.