Titlebook: Completeness Theorems and Characteristic Matrix Functions; Applications to Inte Marinus A. Kaashoek,Sjoerd M. Verduyn Lunel Book 2022 The E

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Der (Spitzen)Sport und seine FansIn this chapter we extend the notion of characteristic matrix function, as defined in [.] for unbounded operators, to bounded operators. Classes of Banach space operators are introduced for which the assumptions of Theorem . can easily be verified.

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Anliegen und Entwicklung der Ph?nomenologieIn this chapter we specify further the results of the previous chapter for the case when the Volterra operator .? is an operator of integration. Completeness results will be given for three different cases. The first section has a preliminary character.

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Characteristic Matrix Functions for a Class of Operators,In this chapter we extend the notion of characteristic matrix function, as defined in [.] for unbounded operators, to bounded operators. Classes of Banach space operators are introduced for which the assumptions of Theorem . can easily be verified.

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Finite Rank Perturbations of Operators of Integration,In this chapter we specify further the results of the previous chapter for the case when the Volterra operator .? is an operator of integration. Completeness results will be given for three different cases. The first section has a preliminary character.

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Marinus A. Kaashoek,Sjoerd M. Verduyn LunelA new and self-contained study of linear operators that admit a characteristic matrix function.New completeness theorems for classes of Banach space operators motivated by applications.Comprehensive t

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Completeness Theorems and Characteristic Matrix Functions978-3-031-04508-0Series ISSN 0255-0156 Series E-ISSN 2296-4878