Journal of Operator Theory

Volume 57, Issue 2, Spring 2007 pp. 375-389.

Linear algebraic properties for Jordan models of $C_{0}$-operators relative to multiply connected domains

Authors: Yun-Su Kim
Author institution: Department of Mathematics, Indiana University, Bloomington, Indiana, U.S.A.

Summary: We study $C_{0}$-operators relative to a multiply connected domain using a substitute of the characteristic function. This method allows us to prove certain relations between the Jordan model of an operator and that of its restriction to an invariant subspace.

Keywords: Hardy spaces, Hilbert spaces, functional calculus, Jordan model, quasi-equivalence, quasi-similarity

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