Titlebook: Operator Theory and Interpolation; International Worksh Hari Bercovici,Ciprian I. Foias Conference proceedings 2000 Springer Basel AG 2000

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Subdecomposable Operators and Rationally Invariant Subspaces,struct new and different proofs of the facts such as decomposable and subdecomposable operators have the single-valued extension property and satisfy Dunford’s Condition C. We discuss rationally invariant subspaces, and given an operator T and an invariant subspace M, we categorize those complex num

Limerick

Classical Nevanlinna-Pick Interpolation with Real Interpolation Points,v’s formula. Our results are obtained in two ways: in Sections 1–5 through the theory of selfadjoint extensions of a symmetric relation in a Hilbert space, including Krein’s formula and the socalled u-resolvent matrix, and in Sections 6 and 7 via the theory of reproducing kernel Hilbert spaces.

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Subdecomposable Operators and Rationally Invariant Subspaces,al spectrum of w with respect to T is not equal to the spectrum of T. This answers negatively the question of whether the local spectrum of each vector with respect to T is equal to the spectrum of T for a pure cyclic hyponormal operator T.

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