BEN GURION UNIVERSITY OF THE NEGEV
DEPARTMENT OF MATHEMATICS

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Operator and System Theory Seminar
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SPEAKER: Shibananda Biswas , BGU

TITLE:   Curvature inequality and infinitely divisible metrics

DATE:    Monday, December 12, 2011

PLACE:   Room -101, Mathematics Building, BGU

TIME:	 14:10

ABSTRACT:

The curvature $\mathcal K_T(w)$ of a contraction $T$ in the Cowen-Douglas
class $B_1(\mathbb D)$ is bounded above by the curvature $\mathcal K_{S^*}(w)$
of the backward shift operator. However, in general, an operator satisfying the
curvature inequality need not be contractive. We will discuss this issue
in multivariate setup and isolate the special circumstances which force
contractivity of the operator assuming it satisfies the curvature inequality.

For further announcements see
<http://www.math.bgu.ac.il/~vinnikov/otseminar>