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Resolventenwachstum und Vollständigkeit meromorpher Operatoren in normierten Räumen

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Literatur

  1. Benzinger, H.E.: Completeness of eigenvectors in Banach spaces. Proc. Amer. Math. Soc.38, 319–324 (1973)

    Google Scholar 

  2. Boas, R.: Entire Functions. New York-San Francisco-London: Academic Press 1954

    Google Scholar 

  3. Deckard, D., Foias, C., Pearcy, C.: Compact operators with root vectors that span. Proc. Amer. Math. Soc.76, 101–106 (1979)

    Google Scholar 

  4. Dunford, N., Schwartz, J.T.: Linear Operators I, II. New York-London: Interscience 1958, 1963

    Google Scholar 

  5. Eberhard, W.: Zur Vollständigkeit des Biorthogonalsystem, von Eigenfunktionen irregulärer Eigenwertprobleme. Math. Z.146, 213–221 (1976)

    Google Scholar 

  6. Edwards, R.E.: Functional Analysis. New York: Holt, Rinehart and Winston 1965

    Google Scholar 

  7. Gohberg, I.C., Krein, M.G.: Introduction to the Theory of Linear Nonselfadjoint Operators. Translations of Mathematical Monographs18. Providence: American Mathematical Society 1969

    Google Scholar 

  8. Heuser, H.: Funktionalanalysis. Stuttgart: Teubner 1975

    Google Scholar 

  9. Hille, E.: Analytic Function Theory II, 2nd Edition. New York: Chelsea Publishing Company 1973

    Google Scholar 

  10. Hille, E., Phillips, R.S.: Functional Analysis and Semigroups. American Mathematical Society Colloquium Publication31. Providence: American Mathematical Society 1957

    Google Scholar 

  11. König, H.: A Fredholm determinant theory forp-summing maps in Banach spaces. Math. Ann.247, 255–274 (1980)

    Google Scholar 

  12. Lay, D.C.: Spectral analysis using ascent, descent, nullity and defect. Math. Ann.184, 197–214 (1970)

    Google Scholar 

  13. Markus, A.S.: Some criteria for the completeness of a system of root vectors of a linear operator in a Banach space. Mat. Sb. (N.S.)70 (112), 526–561 (1966) Amer. Math. Soc. Transl. (2)85, 51–91 (1969)

    Google Scholar 

  14. Pietsch, A.: Absolutp-summierende Abbildungen in normierten Räumen. Studia Math.28, 333–353 (1967)

    Google Scholar 

  15. Pietsch, A.:s-Numbers of operators in Banach spaces. Studia Math.51, 201–223 (1974)

    Google Scholar 

  16. Pietsch, A.: Operator ideals. Amsterdam, New York, Oxford: North-Holland 1980

    Google Scholar 

  17. Reuter, F.: Über den Zusammenhang von Spektralspann und Resolventenwachstum linearer Operatoren in normierten Räumen. Dissertation, Universität Marburg 1979

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Reuter, F. Resolventenwachstum und Vollständigkeit meromorpher Operatoren in normierten Räumen. Math Z 178, 387–397 (1981). https://doi.org/10.1007/BF01214876

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