Results 1 to 10 of about 329 (32)

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

Wheeling around Mazur rotations problem [PDF]

arXiv, 2021
We study Mazur rotations problem focusing on the metric aspects of the action of the isometry group and semitransitivity properties.
arxiv  

Unconditional bases and strictly convex dual renormings [PDF]

, 2008
We present equivalent conditions for a space $X$ with an unconditional basis to admit an equivalent norm with a strictly convex dual norm.
arxiv   +1 more source

A proof of Rosenthal's \(\ell_1\) Theorem [PDF]

arXiv, 2014
A proof is given of Rosenthal's \(\ell_1\) theorem.
arxiv  

A continuum of totally incomparable hereditarily indecomposable Banach spaces [PDF]

arXiv, 2000
A family is constructed of cardinality equal to the continuum, whose members are totally incomparable, reflexive, hereditarily indecomposable Banach spaces.
arxiv  

Strictly singular, non-compact operators exist on the space of Gowers and Maurey [PDF]

arXiv, 2001
We construct a strictly singular non-compact operator on Gowers' and Maurey's space $GM$.
arxiv  

Extensions by spaces of continuous functions [PDF]

arXiv, 2004
We characterize the Banach spaces X such that Ext(X, C(K))=0 for every compact space.
arxiv  

Operators on (C[0,1]) preserving copies of asymptotic (\ell_1) spaces [PDF]

arXiv, 2004
It is shown that every operator on (C[0,1]) which preserves a copy of an asymptotic (\ell_1) space, also preserves a copy of (C[0,1]).
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