Bolzano’s intermediate-value theorem for quasi-holomorphic maps

• Autorzy: Aboubakr Bayoumi
• Języki publikacji: EN

Abstrakty

EN

We extend Bolzano’s intermediate-value theorem to quasi-holomorphic maps of the space of continuous linear functionals from l p into the scalar field, (0< p<1). This space is isomorphic to l ∞.

Słowa kluczowe

EN

Bolzano’s Intermediate-value theorem; infinite-dimensional holomorphy; non locally convex spaces; inverse mapping theorem; F-spaces; quasi-holomorphic maps; 46A16; 46E50

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2005
• Tom: 3
• Numer: 1
• Strony: 76-82

Daty

wydano

2005-03-01

online

2005-03-01

Twórcy

autor

Aboubakr Bayoumi

Bibliografia

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• [9] M.H. Shih: “An analogy of Bolzano’s theorem for functions of a complex variable”, Amer. Math. Monthly, Vol. 89, (1982), pp. 210–211. http://dx.doi.org/10.2307/2320206
• [10] M.H. Shih: “Bolzano’s theorem in several complex variables”, Proc. Amer. Math. Soc., Vol. 79, (1980), pp. 32–34. http://dx.doi.org/10.2307/2042381
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Identyfikatory

DOI

10.2478/BF02475656