Results 61 to 70 of about 2,678 (104)

Plus-Minus Property as a Generalization of the Daugavet Property [PDF]

, 2010
2000 Mathematics Subject Classification: Primary 46B20. Secondary 47A99, 46B42.It was shown in [2] that the most natural equalities valid for every rank-one operator T in real Banach spaces lead either to the Daugavet equation ||I+T|| = 1 + ||T|| or to ...
Shepelska, Varvara
core  

Some more weak Hilbert spaces [PDF]

arXiv, 1998
We give new examples of weak Hilbert spaces.
arxiv  

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.
arxiv  

An Operator Hilbert space without the operator approximation property [PDF]

arXiv, 2000
We use a technique of Szankowski to construct an operator Hilbert space that does not have the operator approximation ...
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  

Notes on Knaster-Tarski Theorem versus Monotone Nonexpansive Mappings

Moroccan Journal of Pure and Applied Analysis, 2018
The purpose of this note is to discuss the recent paper of Espínola and Wiśnicki about the fixed point theory of monotone nonexpansive mappings. In their work, it is claimed that most of the fixed point results of this class of mappings boil down to the ...
Khamsi Mohamed Amine
doaj   +1 more source

Subsymmetric sequences and minimal spaces [PDF]

arXiv, 2001
We show that every Banach space saturated with subsymmetric sequences contains a minimal subspace.
arxiv  

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