Results 11 to 20 of about 253 (27)
Probabilistic estimates for tensor products of random vectors [PDF]
, 2015 We prove some probabilistic estimates for tensor products of random vectors.
Alonso-Gutierrez, David +2 more
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On k‐nearly uniform convex property in generalized Cesàro sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 57, Page 3599-3607, 2003., 2003 We define a generalized Cesàro sequence space ces(p), where p = (pk) is a bounded sequence of positive real numbers, and consider it equipped with the Luxemburg norm. The main purpose of this paper is to show that ces(p) is k‐nearly uniform convex (k‐NUC) for k ≥ 2 when limn→∞infpn > 1. Moreover, we also obtain that the Cesàro sequence space cesp(where
Winate Sanhan, Suthep Suantai
wiley +1 more source
Some properties of Banach‐valued sequence spaces ℓp[X]
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 289-300, 2001., 2001 We discuss some properties of the Banach‐valued sequence space ℓp[X](1 ≤ p < ∞), the space of weakly p‐summable sequences on a Banach space X. For example, we characterize the reflexivity of ℓp[X], convergent sequences on ℓp[X], and compact subsets of ℓp[X].
Qingying Bu
wiley +1 more source
Characterizations of compact operators on ℓp−type fractional sets of sequences
Demonstratio Mathematica, 2019 Among the sets of sequences studied, difference sets of sequences are probably the most common type of sets. This paper considers some ℓp−type fractional difference sets via the gamma function.
Özger Faruk
doaj +1 more source
Mean ergodicity vs weak almost periodicity
, 2018 We provide explicit examples of positive and power-bounded operators on $c_0$ and $\ell^\infty$ which are mean ergodic but not weakly almost periodic. As a consequence we prove that a countably order complete Banach lattice on which every positive and ...
Gerlach, Moritz, Glück, Jochen
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On the metric compactification of infinite-dimensional $\ell_{p}$ spaces
, 2018 The notion of metric compactification was introduced by Gromov and later rediscovered by Rieffel; and has been mainly studied on proper geodesic metric spaces.
Gutiérrez, Armando W.
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On the Distribution of Random variables corresponding to Musielak-Orlicz norms
, 2013 Given a normalized Orlicz function $M$ we provide an easy formula for a distribution such that, if $X$ is a random variable distributed accordingly and $X_1,...,X_n$ are independent copies of $X$, then the expected value of the p-norm of the vector ...
Alonso-Gutierrez, David +3 more
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The Method of almost convergence with operator of the form fractional order and applications
, 2016 The purpose of this paper is twofold. First, basic concepts such as Gamma function, almost convergence, fractional order difference operator and sequence spaces are given as a survey character.
Kadak, Ugur, Kirisci, Murat
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Open MathematicsIn this article, we provide a comprehensive study on the continuity and essential norm of an operator defined by an infinite tridiagonal matrix, specifically when it operates from a weighted Orlicz sequence space or a weighted l∞{l}^{\infty } space into ...
Ramos-Fernández Julio C. +2 more
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Examples of k-iterated spreading models
, 2011 It is shown that for every $k\in\mathbb{N}$ and every spreading sequence $\{e_n\}_{n\in\mathbb{N}}$ that generates a uniformly convex Banach space $E$, there exists a uniformly convex Banach space $X_{k+1}$ admitting $\{e_n\}_{n\in\mathbb{N}}$ as a $k+1$-
Argyros, Spiros A., Motakis, Pavlos
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