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Una rappresentazione dell’ inversa generalizzata in spazi di Hilbert

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Viene introdotta la definizione di inversa generalizzataA + di un operatore lineare limitatoA: X→Y (X eY spazi di Hilbert) e, dopo aver costruito due opportuni sistemi ortogonali {y p} e {x p} inN(A *) ⊥ eN(A)⊥, si fornisce una rappresentazione diA +.

Summary

A definition of generalized inverseA + of a bounded linear operatorA: X→Y is introduced (X andY Hilbert spaces). Then a representation ofA + is given by using two suitable orthogonal systems {y p} and {x p} inN(A *)⊥ andN(A)⊥.

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Bibliografia

  1. Groetsch C. W.,Generalized Inverses of Linear Operators: Representation and Approximation. New York, 1977.

  2. Fenyö, I. S.,Über eine Darstellung linearer Operatoren im Hilbertraum. Publicationes Math. 25, 1978, 123–137.

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  3. Fenyö I. S.,Eine Darstellung der Verallgemeinerten Inversen eines linearen Operators. Forschungszentrum Graz. Mathematisch-statistische Sektion. Bericht Nr. 117, 1979.

  4. Fenyö I. S.—Stolle H. W.,Theorie und Praxis der linearen Integralgleichungen. Basel. (Sotto stampa).

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Authors and Affiliations

  1. del Politecnico di Budapes, Budapest, I’ungheria

    I. S. Fenyö

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  1. I. S. Fenyö
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(Conferenza tenuta il 19 febbraio 1980)

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Fenyö, I.S. Una rappresentazione dell’ inversa generalizzata in spazi di Hilbert. Seminario Mat. e. Fis. di Milano 50, 23–29 (1980). https://doi.org/10.1007/BF02925157

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  • DOI: https://doi.org/10.1007/BF02925157

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