Results 21 to 30 of about 7,970 (116)

Symmetric strong diameter two property [PDF]

open access: yes, 2018
We study Banach spaces with the property that, given a finite number of slices of the unit ball, there exists a direction such that all these slices contain a line segment of length almost 2 in this direction.
Haller, Rainis   +3 more
core   +3 more sources

On peak phenomena for non-commutative $H^\infty$

open access: yes, 2008
A non-commutative extension of Amar and Lederer's peak set result is given. As its simple applications it is shown that any non-commutative $H^\infty$-algebra $H^\infty(M,\tau)$ has unique predual,and moreover some restriction in some of the results of ...
A. Grothendieck   +27 more
core   +4 more sources

Potential trace inequalities via a Calderón‐type theorem

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula   +2 more
wiley   +1 more source

Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond

open access: yesMathematische Nachrichten, Volume 299, Issue 2, Page 456-479, February 2026.
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley   +1 more source

On the predual of non-commutative $H^\infty$

open access: yes, 2011
The unique predual $M_\star/A_\perp$ of a non-commutative $H^\infty$-algebra $A = H^\infty(M,\tau)$ is investigated. In particular, we will prove the liftability property of weakly relatively compact subsets in $M_\star/A_\perp$ to $M_\star$.Comment: 10 ...
93078, Ueda, Yoshimichi
core   +1 more source

A Choquet theory of Lipschitz‐free spaces

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.
Abstract Let (M,d)$(M,d)$ be a complete metric space and let F(M)$\mathcal {F}({M})$ denote the Lipschitz‐free space over M$M$. We develop a ‘Choquet theory of Lipschitz‐free spaces’ that draws from the classical Choquet theory and the De Leeuw representation of elements of F(M)$\mathcal {F}({M})$ (and its bi‐dual) by positive Radon measures on βM ...
Richard J. Smith
wiley   +1 more source

Computability and Analysis, a Historical Approach

open access: yes, 2016
The history of computability theory and and the history of analysis are surprisingly intertwined since the beginning of the twentieth century. For one, \'Emil Borel discussed his ideas on computable real number functions in his introduction to measure ...
Brattka, Vasco
core   +1 more source

Plank theorems and their applications: A survey

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley   +1 more source

The basic sequence problem

open access: yes, 1994
We construct a quasi-Banach space $X$ which contains no basic ...
Kalton, Nigel J.
core   +2 more sources

Weak solutions for a singular beam equation

open access: yesZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 12, December 2025.
Abstract This paper deals with a dynamic Gao beam of infinite length subjected to a moving concentrated Dirac mass. Under appropriate regularity assumptions on the initial data, the problem possesses a weak solution which is obtained as the limit of a sequence of solutions of regularized problems.
Olena Atlasiuk   +2 more
wiley   +1 more source

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