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What is Cowen-Douglas Operators in Banach Spaces about?

This paper investigates Banach spaces of analytic functions where a left-invertible multiplication operator acts, demonstrating that its left inverse is a Cowen-Douglas operator under certain conditions. The relationship between analytic continuations of functions from an invariant subspace of this operator and the spectrum of its restriction is explored. Key results include the characterization of the spectrum and conditions for analytic continuation related to the Cowen-Douglas class.

Author

Sachin Barthwal

Language

EN