Results 41 to 50 of about 1,337 (221)

Vector and Ordered Variational Inequalities and Applications to Order-Optimization Problems on Banach Lattices

open access: yesJournal of Applied Mathematics, 2013
We investigate the connections between vector variational inequalities and ordered variational inequalities in finite dimensional real vector spaces.
Linsen Xie, Jinlu Li, Wenshan Yang
doaj   +1 more source

Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley   +1 more source

Lipschitz Transformations and Maurey-Type Non-Homogeneous Integral Inequalities for Operators on Banach Function Spaces

open access: yesMathematics, 2023
We introduce a method based on Lipschitz pointwise transformations to define a distance on a Banach function space from its norm. We show how some specific lattice geometric properties (p-convexity, p-concavity, p-regularity) or, equivalently, some types
Roger Arnau, Enrique A. Sánchez-Pérez
doaj   +1 more source

Monotone gradients on Banach lattices [PDF]

open access: yesProceedings of the American Mathematical Society, 1986
It is well known that a differentiable real valued function on the real line is convex iff its derivative is nondecreasing. This characterization of differentiable convex functions does not extend if the domain of the function is a Banach lattice of
openaire   +2 more sources

Integrating Experimental Imaging and (Quantum‐Deformation)‐Curvature Dynamics in Bleb Morphogenesis

open access: yesEngineering Reports, Volume 8, Issue 4, April 2026.
We propose a (q,τ)$$ \left(q,\tau \right) $$‐fractional geometric flow model for cell blebbing that incorporates hereditary memory and viscoelastic effects in curvature‐driven membrane dynamics. Image‐based measurements of bleb geometry are coupled with fractional evolution equations and validated numerically.
Rabha W. Ibrahim   +2 more
wiley   +1 more source

2-convexity and 2-concavity in Schatten ideals. [PDF]

open access: yes, 1996
The properties p-convexity and q-concavity are fundamental in the study of Banach sequence spaces (see [L-TzII]), and in recent years have been shown to be of great significance in the theory of the corresponding Schatten ideals ([G-TJ], [LP-P] and many ...
Jameson, Graham J. O.
core  

A characterization of dual Banach lattices

open access: yes, 1989
In this paper we give a characterization of dual Banach lattices. In fact, we prove that a Banach function space E on a separable measure space which has the Fatou property is a dual Banach lattice if and only if all positive operators from L1(0,1) into ...
Caselles, V.
core   +1 more source

Moduli and Characteristics of Monotonicity in Some Banach Lattices

open access: yesFixed Point Theory and Applications, 2010
First the characteristic of monotonicity of any Banach lattice X is expressed in terms of the left limit of the modulus of monotonicity of X at the point 1.
Miroslav Krbec   +3 more
doaj   +2 more sources

Function spaces for decoupling

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We introduce new function spaces LW,sq,p(Rn)$\mathcal {L}_{W,s}^{q,p}(\mathbb {R}^{n})$ that yield a natural reformulation of the ℓqLp$\ell ^{q}L^{p}$ decoupling inequalities for the sphere and the light cone. These spaces are invariant under the Euclidean half‐wave propagators, but not under all Fourier integral operators unless p=q$p=q$, in ...
Andrew Hassell   +3 more
wiley   +1 more source

Relatively uniform Banach lattices [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
Sequential relative uniform and norm convergence agree in a Banach lattice, if and only if it is equivalent to an M M space.
openaire   +2 more sources

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