Results 21 to 30 of about 338 (53)
Supremum norm differentiability
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 4, Page 705-713, 1983., 1983 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
Continuous linear operators on Orlicz-Bochner spaces
Open Mathematics, 2019 Let (Ω, Σ, μ) be a complete σ-finite measure space, φ a Young function and X and Y be Banach spaces. Let Lφ(X) denote the corresponding Orlicz-Bochner space and Tφ∧$\begin{array}{} \displaystyle \mathcal T^\wedge_\varphi \end{array}$ denote the finest ...
Nowak Marian
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Some inequalities and superposition operator in the space of regulated functions
Advances in Nonlinear Analysis, 2019 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
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Perturbations of isometries between Banach spaces
, 2011 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
Nowhere Weak Differentiability of the Pettis Integral
, 1994 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
Demonstratio MathematicaAs 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
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, 2011 Hyt\"onen, McIntosh and Portal (J. Funct. Anal., 2008) proved two vector-valued generalizations of the classical Carleson embedding theorem, both of them requiring the boundedness of a new vector-valued maximal operator, and the other one also the type p
Hytönen, Tuomas, Kemppainen, Mikko
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Adaptive deterministic dyadic grids on spaces of homogeneous type
, 2014 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
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The vector-valued tent spaces T^1 and T^\infty
, 2011 Tent spaces of vector-valued functions were recently studied by Hyt\"onen, van Neerven and Portal with an eye on applications to H^\infty-functional calculi.
Bourgain +4 more
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(p, q)-Compactness in spaces of holomorphic mappings
Open MathematicsBased 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