Results 51 to 60 of about 1,340 (86)

Hyperbolic Metric Spaces and Stochastic Embeddings

Forum of Mathematics, Sigma
Stochastic embeddings of finite metric spaces into graph-theoretic trees have proven to be a vital tool for constructing approximation algorithms in theoretical computer science.
Chris Gartland
doaj   +1 more source

A Note on Self-extremal Sets in $L_p(\Om)$ Spaces [PDF]

arXiv, 2004
We give a geometric characterization of self-extremal sets in $L_p(\Om)$ spaces that partially extends our previous results to the case of $L_p$\ spaces.
arxiv  

A Hereditarily Indecomposable asymptotic $\ell_2$ Banach space [PDF]

arXiv, 2006
A Hereditarily Indecomposable asymptotic $\ell_2$ Banach space is constructed. The existence of such a space answers a question of B. Maurey and verifies a conjecture of W.T. Gowers.
arxiv  

On Banach Spaces containing $l_p$ or $c_0$ [PDF]

arXiv, 2008
We use the Gowers block Ramsey theorem to characterize Banach spaces containing isomorphs of $\ell_p$ (for some $1 \leq p < \infty$) or $c_0$.
arxiv  

Existence of fixed points for a particular multifunction [PDF]

arXiv, 2010
We prove a fixed point theorem for a particular multifunction from the unit sphere of a reflexive Banach space with the Kadec-Klee property into itself.
arxiv  

A weak Hilbert space that is a twisted HIlbert space [PDF]

J. Inst. Math. Jussieu 19 (2020), no. 3, 855--867
We construct a weak Hilbert space that is a twisted Hilbert space.
arxiv   +1 more source

The Mazur-Ulam theorem [PDF]

Expositiones Mathematicae 30 (2012), 397 - 398, 2013
A short proof of the Mazur-Ulam theorem concerning isometries of real normed spaces.
arxiv  

The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities. [PDF]

Calc Var Partial Differ Equ, 2023
Sodini GE.
europepmc   +1 more source

The weak Banach-Saks property for function spaces [PDF]

arXiv, 2015
We establish the weak Banach-Saks property for function spaces arising as the optimal domain of an operator.
arxiv  

Haar null closed and convex sets in separable Banach spaces. [PDF]

Bull Lond Math Soc, 2023
Ravasini D.
europepmc   +1 more source