A short remark on Kolmogoroff normability theorem.
Caruso, A. (2002)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Caruso, A. (2002)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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E. Ignaczak, A. Paszkiewicz (1998)
Applicationes Mathematicae
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We prove that under some topological assumptions (e.g. if M has nonempty interior in X), a convex cone M in a linear topological space X is a linear subspace if and only if each convex functional on M has a convex extension on the whole space X.
Raissouli, Mustapha (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Mila Mršević (2008)
The Teaching of Mathematics
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Sehie Park, Jong Park (1996)
Colloquium Mathematicae
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Jolanta Plewnia (1993)
Annales Polonici Mathematici
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If C is a non-empty convex subset of a real linear space E, p: E → ℝ is a sublinear function and f:C → ℝ is concave and such that f ≤ p on C, then there exists a linear function g:E → ℝ such that g ≤ p on E and f ≤ g on C. In this result of Hirano, Komiya and Takahashi we replace the sublinearity of p by convexity.
Jaspal Singh Aujla, H. L. Vasudeva (1995)
Annales Polonici Mathematici
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The purpose of this note is to provide characterizations of operator convexity and give an alternative proof of a two-dimensional analogue of a theorem of Löwner concerning operator monotonicity.
Guendouzi, Toufik (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Martini, Horst, Wenzel, Walter (2003)
Beiträge zur Algebra und Geometrie
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Silvestru Sever Dragomir (2014)
Communications in Mathematics
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Some new bounds for the Čebyšev functional in terms of the Lebesgue norms and the -seminorms are established. Applications for mid-point and trapezoid inequalities are provided as well.
Blezu, Dorin (2001)
General Mathematics
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