Results 1 to 10 of about 4,758,376 (292)
Ball Covariance: A Generic Measure of Dependence in Banach Space. [PDF]
Technological advances in science and engineering have led to the routine collection of large and complex data objects, where the dependence structure among those objects is often of great interest.
Pan W, Wang X, Zhang H, Zhu H, Zhu J.
europepmc +2 more sources
CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS [PDF]
The purpose of this paper is to obtain systematically certain classical inequalities concerning the Hilbert transform, the function g of Littlewood and Paley, their generalizations to several variables, and related results.t This we accomplish by ...
A. Benedek, A. P. Calderón, R. Panzone
openalex +2 more sources
On Decoupling in Banach Spaces [PDF]
AbstractWe consider decoupling inequalities for random variables taking values in a Banach space X. We restrict the class of distributions that appear as conditional distributions while decoupling and show that each adapted process can be approximated by a Haar-type expansion in which only the pre-specified conditional distributions appear.
Cox, Sonja, Geiss, Stefan
openaire +4 more sources
p-adic Banach space operators and adelic Banach space operators [PDF]
In this paper, we study non-Archimedean Banach \(*\)-algebras \(\frak{M}_{p}\) over the \(p\)-adic number fields \(\mathbb{Q}_{p}\), and \(\frak{M}_{\mathbb{Q}}\) over the adele ring \(\mathbb{A}_{\mathbb{Q}}\). We call elements of \(\frak{M}_{p}\), \(p\)
Ilwoo Cho
doaj +1 more source
Uniform large deviation principles for Banach space valued stochastic evolution equations [PDF]
We prove a large deviation principle (LDP) for a general class of Banach space valued stochastic differential equations (SDEs) that is uniform with respect to initial conditions in bounded subsets of the Banach space.
A. Budhiraja, P. Dupuis, M. Salins
semanticscholar +1 more source
Properties of Chmielinski-orthogonality using Kadets-Klee property
The aim of this paper is to study new results of an approximate orthogonality of Birkhoff-James techniques in real Banach space , namely Chiemelinski orthogonality (even there is no ambiguity between the concepts symbolized by orthogonality) and provide
saied Johnny, Buthainah A. A. Ahmed
doaj +1 more source
Geometric Characterization of Injective Banach Lattices
This is a continuation of the authors’ previous study of the geometric characterizations of the preduals of injective Banach lattices. We seek the properties of the unit ball of a Banach space which make the space isometric or isomorphic to an injective ...
Anatoly Kusraev, Semën Kutateladze
doaj +1 more source
On $T$-orthogonality in Banach spaces
Let $\mathbb{X}$ be a Banach space and let $\mathbb{X}^*$ be the dual space of $\mathbb{X}.$ For $x,y \in \mathbb{X},$ $ x$ is said to be $T$-orthogonal to $y$ if $Tx(y) =0,$ where $T$ is a bounded linear operator from $\mathbb{X}$ to $\mathbb{X}^*.$ We study the notion of $T$-orthogonality in a Banach space and investigate its relation with the ...
Sain, Debmalya+2 more
openaire +2 more sources
Pre-Quasi Simple Banach Operator Ideal Generated by s−Numbers
Let E be a weighted Nakano sequence space or generalized Cesáro sequence space defined by weighted mean and by using s−numbers of operators from a Banach space X into a Banach space Y.
Awad A. Bakery, Afaf R. Abou Elmatty
doaj +1 more source