Entire functions in -algebras containing dense division algebras
S. Rolewicz (1963)
Studia Mathematica
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S. Rolewicz (1963)
Studia Mathematica
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B. Mitiagin, S. Rolewicz, W. Żelazko (1962)
Studia Mathematica
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R. Ger (1970)
Fundamenta Mathematicae
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A. Birkholc (1966)
Studia Mathematica
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W. Słowikowski (1965)
Studia Mathematica
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R. Faber (1995)
Studia Mathematica
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We prove that for every closed locally convex subspace E of and for any continuous linear operator T from to there is a continuous linear operator S from to such that T = QS where Q is the quotient map from to .
Cristian E. Gutiérrez, Annamaria Montanari (2004)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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In the euclidean setting the celebrated Aleksandrov-Busemann-Feller theorem states that convex functions are a.e. twice differentiable. In this paper we prove that a similar result holds in the Heisenberg group, by showing that every continuous –convex function belongs to the class of functions whose second order horizontal distributional derivatives are Radon measures. Together with a recent result by Ambrosio and Magnani, this proves the existence a.e. of second order horizontal derivatives...
Zoltán Daróczy, Zsolt Páles (1987)
Stochastica
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Sean Dineen (1973)
Annales de l'institut Fourier
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This article is devoted to a study of locally convex topologies on (where is an open subset of the locally convex topological vector space and is the set of all complex valued holomorphic functions on ). We discuss the following topologies on : (a) the compact open topology , (b) the bornological topology associated with , (c) the ported topology of Nachbin , (d) the bornological topology associated with ; and ...