Notes on spectral theory on Banach spaces [PDF]
, 2016 We consider a compact linear map T acting between Banach spaces both of which are uniformly convex and uniformly smooth; it is supposed that T has trivial kernel and range dense in the target space.
Lang, Jan
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Fibers over the sphere of a uniformly convex Banach space.
Michigan Mathematical Journal, 1998 Over the past years, a significant interest has developed in the study of holomorphic functions defined on a domain in an infinite-dimensional Banach space and of their constituents (via Taylor expansions), the homogeneous polynomials. Many of the questions that have been studied have arisen from considerations of infinitedimensional topology and from ...
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Locally uniformly rotund points in convex-transitive Banach spaces
Journal of Mathematical Analysis and Applications, 2009 AbstractAlmost transitive superreflexive Banach spaces have been considered in [C. Finet, Uniform convexity properties of norms on superreflexive Banach spaces, Israel J. Math. 53 (1986) 81–92], where it is shown that they are uniformly convex and uniformly smooth.
Angel Rodríguez Palacios +1 more
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Nonexpansive iterations in uniformly convex $W$-hyperbolic spaces [PDF]
arXiv, 2008 We propose the class of uniformly convex $W$-hyperbolic spaces with monotone modulus of uniform convexity ($UCW$-hyperbolic spaces for short) as an appropriate setting for the study of nonexpansive iterations. $UCW$-hyperbolic spaces are a natural generalization both of uniformly convex normed spaces and CAT(0)-spaces.
arxiv
On the asymptotic behavior of iterates of nonexpansive mappings in uniformly convex Banach spaces [PDF]
, 1979 Kazuo Kobayasi
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A uniformly convex Banach space with a Schauder basis which is subsymmetric but not symmetric [PDF]
, 1976 L.R. Pujara
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A random fixed point theorem for multivalued nonexpansive operators in uniformly convex Banach spaces [PDF]
, 1993 Hong Kun Xu
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Common Attractive Point Results for Two Generalized Nonexpansive Mappings in Uniformly Convex Banach Spaces [PDF]
, 2022 Chadarat Thongphaen +3 more
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Generating an evolution system in a class of uniformly convex Banach spaces
Journal of Functional Analysis, 1972 AbstractLet E be a Banach space such that both E and its dual space are uniformly convex. In this paper we consider the problem of existence of solutions to the system u′(t) ϵ A(t) u(t) where A(t) is a dissipative subset of E × E for each t in [a, b].
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A quantitative mean ergodic theorem for uniformly convex Banach spaces – ERRATUM [PDF]
, 2009 Ulrich Kohlenbach, Laurenţiu Leuştean
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