Denseness of Numerical Radius Attaining Holomorphic Functions
Journal of Inequalities and Applications, 2009 We study the density of numerical radius attaining holomorphic functions on certain Banach spaces using the Lindenstrauss method. In particular, it is shown that if a complex Banach space X is locally uniformly convex, then the set of all numerical ...
Han Ju Lee
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Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings
Fixed Point Theory and Applications, 2008 We prove that a sequence generated by the monotone CQ-method converges strongly to a common fixed point of a countable family of relatively quasi-nonexpansive mappings in a uniformly convex and uniformly smooth Banach space. Our result is applicable to a
Satit Saejung, Weerayuth Nilsrakoo
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Fibers over the sphere of a uniformly convex Banach space.
Michigan Mathematical Journal, 1998 Let \(B\) be the open unit ball of an infinite-dimensional complex Banach space \(X\). In this paper the author studies the boundary behavior of bounded analytic functions on \(B\) when \(X\) is uniformly convex. Several interesting results are obtained regarding the structure of the spectrum of \(H^\infty (B)\).
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No-Dimensional Helly’s Theorem in Uniformly Convex Banach Spaces
Studia Scientiarum Mathematicarum HungaricaWe study the “no-dimensional” analogue of Helly’s theorem in Banach spaces. Specifically, we obtain the following no-dimensional Helly-type results for uniformly convex Banach spaces: Helly’s theorem, fractional Helly’s theorem, colorful Helly’s theorem, and colorful fractional Helly’s theorem.The combinatorial part of the proofs for these Helly-type ...
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Nonlinear AnalysisThis paper presents an implicit scheme for a representation of nonexpansive mappings on a closed convex subset of a smooth uniformly convex Banach space with respect to a left-regular sequence of means defined on a subset of l∞(S).
Ebrahim Soori +2 more
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The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities. [PDF]
Calc Var Partial Differ Equ, 2023 Sodini GE.
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Nonsurjective Coarse Isometries of Uniformly Convex Banach Spaces
Journal of Function SpacesWe apply Pisier’s inequality to establish the stability property of nonsurjective coarse isometries from a Banach space to a uniformly convex space. Making use of this result, we extend some known conclusions on (ε, p) isometries of Hilbert spaces and Lq spaces.
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Uniformly non-$l^{(1)}$ and B-convex Banach spaces [PDF]
Studia Mathematica, 1973 Giesy, D. P., James, R. C.
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Strongly unique best approximation in uniformly convex Banach spaces
Journal of Approximation Theory, 1989 Let Y be a closed subspace of a Banach space X. An element \(z\in Y\) is called a strongly unique best approximation of order \(\alpha\) \((\alpha >1)\) at x, if for some \(M>0\) there exists \(\gamma =\gamma (x,M)>0\) such that, for all \(y\in Y\) with \(\| y-z\| \leq M\), \(\| y-x\| \geq \| z-x\| +\gamma \| y-z\|^{\alpha}.\) Results concerning strong
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An analysis on the approximate controllability of neutral impulsive stochastic integrodifferential inclusions via resolvent operators. [PDF]
Heliyon, 2023 Ma YK +4 more
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