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Der numerische Wertebereich für nicht notwendig lineare Abbildungen in lokalkonvexen Räumen. (German) Zbl 0297.47059


MSC:

47H99 Nonlinear operators and their properties
46A03 General theory of locally convex spaces
47A10 Spectrum, resolvent
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References:

[1] Bauer, Numer. Math. 4 pp 103– (1962)
[2] Bonsall, Glasgow Math. J. 10 pp 68– (1969)
[3] Bonsall, Acq. math. 2 pp 86– (1968)
[4] and , Numerical ranges of Operators on Normed Spaces and of Elements of Normed Algebras. Cambridge 1971. · Zbl 0207.44802
[5] Edmunds, Math. Ann. 174 pp 233– (1967)
[6] [Russian Text Ignored] 1969.
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[8] A Hilbert space problem book. Van Nostrand 1967. · Zbl 0144.38704
[9] Hausdroff, Math. Zeit. 3 pp 314– (1919)
[10] Topologische lineare Räume I. Berlin-Göttingen-Heidelberg 1960.
[11] Lumer, Trans. Amer. math. Soc. 100 pp 29– (1961)
[12] Der numerische Wertebereich nicht notwendig linearer Abbildungen; Existenzsätze und Näherungsverfahren für nichtlineare Operatorengleichungen in topologischen Vektorräumen. Dissertation TU Dresden 1973.
[13] Linear transformations in Hilbert spaces. New York 1932.
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[15] Zarantonello, Bull. Amer. math. Soc. 70 pp 781– (1964)
[16] Zarantonello, Pacific J. Math. 22 pp 575– (1967) · Zbl 0152.34602 · doi:10.2140/pjm.1967.22.575
[17] Nota sobre la unicidad en el theorema de extension de Hahn-Banach. Rev. de la Real Acad. de Ciensias. 577–584 (1966).
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