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Submitted by anilkarn on 23 June, 2015 - 10:03

Date/Time:

Thursday, July 2, 2015 - 16:00

Venue:

LH-101

Speaker:

Prof. Gadadhar Mishra

Affiliation:

Indian Institute of Science, Bangalore

Title:

Contractive vs Completely contractive maps over function algebras

Abstract: An equivalent formulation of Ando's (generalization of Nagy's theorem) theorem providing a unitary dilation for a pair of commuting contractions is the statement: every contractive homomorphism of the bi-disc algebra is completely contractive. This is not true for any function algebra in three variables leaving the question of function algebras in two variables other than the bi-disc algebra open. The answer to this question for a large class will be discussed.

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