Results 1 to 10 of about 604,735 (186)

Uniformly convex-transitive function spaces [PDF]

arXiv, 2009
We introduce a property of Banach spaces called uniform convex-transitivity, which falls between almost transitivity and convex-transitivity. We will provide examples of uniformly convex-transitive spaces. This property behaves nicely in connection with some Banach-valued function spaces.
F. Rambla-Barreno, Jarno Talponen
arxiv   +8 more sources

Locally Uniformly Convex Banach Spaces [PDF]

Transactions of the American Mathematical Society, 1955
which we shall call local uniform convexity. Geometrically this differs from uniform convexity in that it is required that one end point of the variable chord remain fixed.
A. R. Lovaglia
semanticscholar   +3 more sources

A uniformly convex hereditarily indecomposable Banach space [PDF]

arXiv, 1995
A {\em hereditarily indecomposable (or H.I.)} Banach space is an infinite dimensional Banach space such that no subspace can be written as the topological sum of two infinite dimensional subspaces. As an easy consequence, no such space can contain an unconditional basic sequence.
V. Ferenczi
arxiv   +7 more sources

Reflexive Banach spaces not isomorphic to uniformly convex spaces [PDF]

Bulletin of the American Mathematical Society, 1941
MAHLON M. DAY Clarkson introduced the notion of uniform convexity of a Banach space: B is uniformly convex if for each e with 0 < e ^ 2 there is a 6(e) > 0 such that whenever ||&|| = ||&'|| = 1 and | |&-&' | |^€, then | | j + 6 / | | ^ 2 ( l 6 ...
Mahlon M. Day
semanticscholar   +4 more sources

Locally uniformly convex norms in Banach spaces and their duals [PDF]

arXiv, 2006
It is shown that a Banach space with locally uniformly convex dual admits an equivalent norm which is itself locally uniformly convex. It follows that on any such space all continuous real-valued functions may be uniformly approximated by C^1 functions.
Richard Haydon
arxiv   +7 more sources

Iterative methods for monotone nonexpansive mappings in uniformly convex spaces

Advances in Nonlinear Analysis, 2021
We show the nonlinear ergodic theorem for monotone 1-Lipschitz mappings in uniformly convex spaces: if C is a bounded closed convex subset of an ordered uniformly convex space (X, ∣·∣, ⪯), T:C → C a monotone 1-Lipschitz mapping and x ⪯ T(x), then the ...
Shukla Rahul, Wiśnicki Andrzej
doaj   +2 more sources

Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order [PDF]

J. Math. Anal. Appl. 377:2 (2011), 754-761, 2011
We prove that in the Hilbert space every uniformly convex set with modulus of convexity of the second order at zero is an intersection of closed balls of fixed radius. We also obtain an estimate of this radius.
M. Balashov, Dušan D. Repovš
arxiv   +3 more sources

Partial Mielnik spaces and characterization of uniformly convex spaces [PDF]

Proceedings of the American Mathematical Society, 1976
We characterize uniform convexity of normed linear spaces in terms of a functional inequality generalizing Clarkson’s inequality for L p {L_p} spaces. This inequality can be interpreted as saying that the unit sphere of the space carries a structure slightly weaker than a probability space in the ...
Andreas Blass, Č. V. Stanojević
openalex   +2 more sources

Steepest Descent on a Uniformly Convex Space

Rocky Mountain Journal of Mathematics, 2003
This paper contains four main ideas. First, it shows global existence for the steepest descent in the uniformly convex setting. Secondly, it shows existence of critical points for convex functions defined on uniformly convex spaces.
M. Zahran
semanticscholar   +4 more sources

The dual of the James Tree space is asymptotically uniformly convex [PDF]

arXiv, 2000
The dual of the James Tree space is asymptotically uniformly convex.
M. Girardi
arxiv   +3 more sources