Results 11 to 20 of about 1,382 (80)
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
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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
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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
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Demonstratio Mathematica, 2020 In this study, at first we prove that the existence of best proximity points for cyclic nonexpansive mappings is equivalent to the existence of best proximity pairs for noncyclic nonexpansive mappings in the setting of ...
Gabeleh Moosa, Künzi Hans-Peter A.
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Scaled Enflo type is equivalent to Rademacher type [PDF]
, 2007 We introduce the notion of the scaled Enflo type of a metric space, and show that for Banach spaces, scaled Enflo type p is equivalent to Rademacher type ...
Mendel, Manor, Naor, Assaf
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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
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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
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Cyclic pairs and common best proximity points in uniformly convex Banach spaces
Open Mathematics, 2017 In this article, we survey the existence, uniqueness and convergence of a common best proximity point for a cyclic pair of mappings, which is equivalent to study of a solution for a nonlinear programming problem in the setting of uniformly convex Banach ...
Gabeleh Moosa +3 more
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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
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On L1-Embeddability of Unions of L1-Embeddable Metric Spaces and of Twisted Unions of Hypercubes
Analysis and Geometry in Metric Spaces, 2022 We study properties of twisted unions of metric spaces introduced in [Johnson, Lindenstrauss, and Schechtman 1986], and in [Naor and Rabani 2017]. In particular, we prove that under certain natural mild assumptions twisted unions of L1-embeddable metric ...
Ostrovskii Mikhail I. +1 more
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