Results 11 to 20 of about 1,401 (73)
No‐dimension Tverberg's theorem and its corollaries in Banach spaces of type p
Bulletin of the London Mathematical Society, Volume 53, Issue 2, Page 631-641, April 2021., 2021 Abstract We continue our study of ‘no‐dimension’ analogues of basic theorems in combinatorial and convex geometry in Banach spaces. We generalize some results of the paper (Adiprasito, Bárány and Mustafa, ‘Theorems of Carathéodory, Helly, and Tverberg without dimension’, Proceedings of the Thirtieth Annual ACM‐SIAM Symposium on Discrete Algorithms ...
Grigory Ivanov
wiley +1 more source
BEST CONSTANTS FOR LIPSCHITZ QUOTIENT MAPPINGS IN POLYGONAL NORMS
Mathematika, Volume 67, Issue 1, Page 116-144, January 2021., 2021 Abstract We investigate the relation between the maximum cardinality N of the level sets of a Lipschitz quotient mapping of the plane and the ratio between its Lipschitz and co‐Lipschitz constants, with respect to the polygonal norms, and establish that bounds of 1/N previously shown to be sharp for Euclidean norm stay sharp for polygonal n‐norms if ...
Olga Maleva +1 more
wiley +1 more source
Geometry of Banach spaces with an octahedral norm [PDF]
, 2014 We discuss the geometry of Banach spaces whose norm is octahedral or, more generally, locally or weakly octahedral.
Haller, Rainis, Langemets, Johann
core +3 more sources
A criterion of weak compactness for operators on subspaces of Orlicz spaces
Journal of Function Spaces, Volume 6, Issue 3, Page 277-292, 2008., 2008 We give a criterion of weak compactness for the operators on the Morse‐Transue space MΨ, the subspace of the Orlicz space LΨ generated by L∞.
Pascal Lefèvre +4 more
wiley +1 more source
On non‐midpoint locally uniformly rotund normability in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 25, Page 1343-1346, 2004., 2004 We will show that if X is a tree‐complete subspace of ℓ∞, which contains c0, then it does not admit any weakly midpoint locally uniformly convex renorming. It follows that such a space has no equivalent Kadec renorming.
A. K. Mirmostafaee
wiley +1 more source
Metrical characterization of super-reflexivity and linear type of Banach spaces [PDF]
, 2007 We prove that a Banach space X is not super-reflexive if and only if the hyperbolic infinite tree embeds metrically into X. We improve one implication of J.Bourgain's result who gave a metrical characterization of super-reflexivity in Banach spaces in ...
Baudier, Florent
core +2 more sources
Interpolation methods to estimate eigenvalue distribution of some integral operators
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 9, Page 479-485, 2004., 2004 We study the asymptotic distribution of eigenvalues of integral operators Tk defined by kernels k which belong to Triebel‐Lizorkin function space Fpuσ(F qvτ) by using the factorization theorem and the Weyl numbers xn. We use the relation between Triebel‐Lizorkin space Fpuσ(Ω) and Besov space Bpqτ(Ω) and the interpolation methods to get an estimation ...
E. M. El-Shobaky +3 more
wiley +1 more source
Double‐dual n‐types over Banach spaces not containing ℓ1
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 33, Page 1747-1755, 2004., 2004 Let E be a Banach space. The concept of n‐type overE is introduced here, generalizing the concept of type overE introduced by Krivine and Maurey. Let E″ be the second dual of E and fix g″1,…g″n∈E″. The function τ : E × ℝn → ℝ, defined by letting τ(x,a1,…,an)=‖x+∑i=1naig″i‖ for all x ∈ E and all a1, …, an ∈ ℝ, defines an n‐type over E. Types that can be
Markus Pomper
wiley +1 more source
Banach space projections and Petrov-Galerkin estimates [PDF]
, 2015 We sharpen the classic a priori error estimate of Babuska for Petrov-Galerkin methods on a Banach space. In particular, we do so by (i) introducing a new constant, called the Banach-Mazur constant, to describe the geometry of a normed vector space; (ii ...
Stern, Ari
core +1 more source
On uniform Kadec‐Klee properties and rotundity in generalized Cesàro sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 2, Page 91-97, 2004., 2004 We consider the generalized Cesàro sequence spaces defined by Suantai (2003) and consider it equipped with the Amemiya norm. The main purpose of this paper is to show that ces(p) equipped with the Amemiya norm is rotund and has uniform Kadec‐Klee property.
Narin Petrot, Suthep Suantai
wiley +1 more source