Results 21 to 30 of about 315 (36)
Some results on the span of families of Banach valued independent, random variables
Let E be a Banach space, and let (Ω, ℱ, P) be a probability space. If L1(Ω) contains an isomorphic copy of L1[0, 1] then in LEP(Ω)(1 ≤ P < ∞), the closed linear span of every sequence of independent, E valued mean zero random variables has infinite codimension.
Rohan Hemasinha
wiley +1 more source
A note on bi-contractive projections on spaces of vector valued continuous functions
This paper concerns the analysis of the structure of bi-contractive projections on spaces of vector valued continuous functions and presents results that extend the characterization of bi-contractive projections given by the first author.
Botelho Fernanda, Rao T.S.S.R.K.
doaj +1 more source
Essential supremum norm differentiability
The points of Gateaux and Fréchet differentiability in L∞(μ, X) are obtained, where (Ω, ∑, μ) is a finite measure space and X is a real Banach space. An application of these results is given to the space B(L1(μ, ℝ), X) of all bounded linear operators from L1(μ, ℝ) into X.
I. E. Leonard, K. F. Taylor
wiley +1 more source
Supremum norm differentiability
The points of Gateaux and Fréchet differentiability of the norm in C(T, E) are obtained, where T is a locally compact Hausdorff space and E is a real Banach space. Applications of these results are given to the space ℓ∞(E) of all bounded sequences in E and to the space B(ℓ1, E) of all bounded linear operators from ℓ1 into ...
I. E. Leonard, K. F. Taylor
wiley +1 more source
Some inequalities and superposition operator in the space of regulated functions
Some inequalities connected to measures of noncompactness in the space of regulated function R(J, E) were proved in the paper. The inequalities are analogous of well known estimations for Hausdorff measure and the space of continuous functions.
Olszowy Leszek, Zając Tomasz
doaj +1 more source
Adaptive deterministic dyadic grids on spaces of homogeneous type
In the context of spaces of homogeneous type, we develop a method to deterministically construct dyadic grids, specifically adapted to a given combinatorial situation.
Lechner, Richard, Passenbrunner, Markus
core +1 more source
Nowhere Weak Differentiability of the Pettis Integral
For an arbitrary infinite-dimensional Banach space $\X$, we construct examples of strongly-measurable $\X$-valued Pettis integrable functions whose indefinite Pettis integrals are nowhere weakly differentiable; thus, for these functions the Lebesgue ...
Dilworth, Stephen J., Girardi, Maria
core +3 more sources
As a Bloch variant of (q,p)\left(q,p)-mixing linear operators, we introduce the notion of (q,p)\left(q,p)-mixing Bloch maps. We prove Pietsch’s domination theorem and Maurey’s splitting theorem in this Bloch context, following the corresponding results ...
Jiménez-Vargas Antonio +1 more
doaj +1 more source
Perturbations of isometries between Banach spaces
We prove a very general theorem concerning the estimation of the expression $\|T(\frac{a+b}{2}) - \frac{Ta+Tb}{2}\|$ for different kinds of maps $T$ satisfying some general perurbated isometry condition. It can be seen as a quantitative generalization of
Gorak, Rafal
core +1 more source
(p, q)-Compactness in spaces of holomorphic mappings
Based on the concept of (p,q)\left(p,q)-compact operator for p∈[1,∞]p\in \left[1,\infty ] and q∈[1,p*]q\in \left[1,{p}^{* }], we introduce and study the notion of (p,q)\left(p,q)-compact holomorphic mapping between Banach spaces.
Jiménez-Vargas Antonio +1 more
doaj +1 more source

