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22nd Conference in Operator Theory
July 3-8, 2008
West University
Timisoara, Romania

Organizers
Institute of Mathematics of the Romanian Academy and West University in Timisoara

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Characterization of H(S) spaces in the Banach space setting
by
Prasada Vegulla
Ben Gurion University of the Negev, Israel

Schur multipliers on the unit ball are operator-valued functions for which the N-variable Schwarz-Pick kernel is nonnegative. The associated reproducing kernel Hilbert spaces in the Pontryagin space setting have been characterized in an earlier paper by D. Alpay, A. Dijksma and J. Rovnyak. In this talk we discuss the generalization to the Banach Space setting.

Date received: June 15, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxn-15.