Results 1 to 10 of about 1,587 (217)
A Reflexive Banach Which is Universal for Uniformly Convex Spaces
, 2005 In 1980, J. Bourgain proved that a Banach space that contains (isomorphically) all reflexive separable Banach spaces must contain C[0,1], and thus such a space must contain all separable spaces.
Schlumprecht, Thomas
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Oscillation and the mean ergodic theorem for uniformly convex Banach spaces
, 2015 Let B be a p-uniformly convex Banach space, with p≥2.
Jeremy Avigad (3881521) +1 more
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Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces
, 2000 We shall consider the behaviour of Ishikawa iteration with errors in a uniformly convex Banach space.
Deng Lei, Li Shenghong
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Existence and decay of solutions of some nonlinear parabolic variational inequalities
International Journal of Mathematics and Mathematical Sciences, 1980 This paper discusses the existence and decay of solutions u(t) of the variational inequality of parabolic type: ≧0for ∀v∈Lp([0,∞);V)(p≧2) with v(t)∈K a.e.
Mitsuhiro Nakao, Takashi Narazaki
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Fixed Point Theory and Applications, 2010 For a countable family of strictly pseudo-contractions, a strong convergence of viscosity iteration is shown in order to find a common fixed point of in either a p-uniformly convex Banach space which admits a weakly continuous duality mapping or a p-
Wangkeeree Rabian, Kamraksa Uthai
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Martingale representation in uniformly convex spaces
, 1979 In this paper we define the concept of a martingale in a uniformly convex Banach space and show that each bounded martingale is convergent and can be represented as a sequence of nearest point projections onto closed convex sets of one element of the ...
L. Rogge, D. Landers
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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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Constructions of Uniformly Convex Functions
, 2012 We give precise conditions under which the composition of a norm with a convex function yields a uniformly convex function on a Banach space. Various applications are given to functions of power type.
Jonathan M. Borwein, Jon Vanderwerff
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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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Complex uniformly convex Banach spaces and Riesz measures.
, 2004 The norm on a Banach space gives rise to a subharmonic function on the complex plane for which the distributional Laplacian gives a Riesz measure. This measure is calculated explicitly here for Lebesgue Lp spaces and the von~Neumann-Schatten trace ideals.
Ransford, T. J., Blower, Gordon
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