Theoretical Statistics and Mathematics Unit, ISI 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.