Antiproximinal ѕets in Banach ѕpaces
S. Cobzaş (1999)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “A new extension theorem for concave operators.”
Antiproximinal ѕets in Banach ѕpaces
On the level sum of two convex functions on Banach spaces.
Traoré, S., Volle, M. (1996)
Journal of Convex Analysis
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Quotients of Continuous Convex Functions on Nonreflexive Banach Spaces
P. Holický, O. F. K. Kalenda, L. Veselý, L. Zajíček (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
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On each nonreflexive Banach space X there exists a positive continuous convex function f such that 1/f is not a d.c. function (i.e., a difference of two continuous convex functions). This result together with known ones implies that X is reflexive if and only if each everywhere defined quotient of two continuous convex functions is a d.c. function. Our construction also gives a stronger version of Klee's result concerning renormings of nonreflexive spaces and non-norm-attaining functionals. ...
Remarks on separation of convex sets, fixed-point theorem, and applications in theory of linear operators.
Soltanov, Kamal N. (2007)
Fixed Point Theory and Applications [electronic only]
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-convexity in infinite-dimensional Banach spaces and applications to Kergin interpolation.
Filipsson, Lars (2006)
International Journal of Mathematics and Mathematical Sciences
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Recognizing the topology of the space of closed convex subsets of a Banach space
Taras Banakh, Ivan Hetman, Katsuro Sakai (2013)
Studia Mathematica
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Convex inequalities and the Hahn-Banach Theorem
Hoang Tu Y
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CONTENTSIntroduction............................................................................................................................................................................... 5§ 1. Finite systems of convex inequalities.......................................................................................................................... 6§ 2. Infinite systems of convex inequalities...........................................................................................................................
On the Hahn-Banach theorem
Ladislav Forgáč (1976)
Mathematica Slovaca
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A dual of the compression-expansion fixed point theorems.
Avery, Richard, Henderson, Johnny, O'Regan, Donal (2007)
Fixed Point Theory and Applications [electronic only]
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On equivalent strictly G-convex renormings of Banach spaces
Nataliia Boyko (2010)
Open Mathematics
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We study strictly G-convex renormings and extensions of strictly G-convex norms on Banach spaces. We prove that ℓω(Γ) space cannot be strictly G-convex renormed given Γ is uncountable and G is bounded and separable.