Results 31 to 40 of about 377 (61)
A note on bi-contractive projections on spaces of vector valued continuous functions
Concrete Operators, 2018 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.
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Multiplication operators on the space of functions of bounded variation
Demonstratio Mathematica, 2017 In this paper,we study the properties of the multiplication operator acting on the bounded variation space BV[0, 1]. In particular,we show the existence of non-null compact multiplication operators on BV[0, 1] and non-invertible Fredholm multiplication ...
Astudillo-Villalba Franklin R. +1 more
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Biseparating maps between smooth vector-valued functions on Banach manifolds
, 2012 An S -category consists all Banach manifolds as objects and subclasses of continuous functions (with some kind of smoothness) as morphisms. This notion covers, for example, the categories C∞ , Cn , C , and Liploc of all smooth functions, Cn -functions ...
Ching-Jou Liao, Ya-Shu Wang
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Wiener Tauberian theorems for vector‐valued functions
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 475-478, 1994., 1993 Different versions of Wiener′s Tauberian theorem are discussed for the generalized group algebra L1(G, A) (of integrable functions on a locally compact abelian group G taking values in a commutative semisimple regular Banach algebra A) using A‐valued Fourier transforms. A weak form of Wiener′s Tauberian property is introduced and it is proved that L1(G,
K. Parthasarathy, Sujatha Varma
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Some results on the span of families of Banach valued independent, random variables
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 2, Page 381-384, 1991., 1990 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
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Essential supremum norm differentiability
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 3, Page 433-439, 1985., 1985 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
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A Riesz representation theory for completely regular Hausdorff spaces and its applications
Open Mathematics, 2016 Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X, E) be the space of all E-valued bounded, continuous functions on X, equipped with the strict topology β.
Nowak Marian
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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
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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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