Compact and finite rank perturbations of linear relations in Hilbert spaces

Azizov, Tomas Ya; Behrndt, Jussi GND; Jonas, Peter GND; Trunk, Carsten GND

Abstract. For closed linear operators or relations A and B acting between Hilbert spaces H and K the concepts of compact and finite rank perturbations are introduced with the help of the orthogonal projections PA and PB in H©K onto A and B. Various equivalent characterizations for such perturbations are proved and it is shown that these notions are a natural generalization of the usual concepts of compact and finite rank perturbations.

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Azizov, Tomas Ya / Behrndt, Jussi / Jonas, Peter / et al: Compact and finite rank perturbations of linear relations in Hilbert spaces. 2007.

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