Results 11 to 20 of about 338 (53)
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 7, Page 435-447, 2002., 2002 The aim of this paper is to prove the existence, uniqueness, and continuous dependence upon the data of a generalized solution for certain singular parabolic equations with initial and nonlocal boundary conditions. The proof is based on an a priori estimate established in nonclassical function spaces, and on the density of the range of the operator ...
Abdelfatah Bouziani
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Some extremal properties of section spaces of Banach bundles and their duals
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 10, Page 563-572, 2002., 2002 When X is a compact Hausdorff space and E is a real Banach space there is a considerable literature on extremal properties of the space C(X, E) of continuous E‐valued functions on X. What happens if the Banach spaces in which the functions on X take their values vary over X?
D. A. Robbins
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A Riesz representation theorem for cone‐valued functions
Abstract and Applied Analysis, Volume 4, Issue 4, Page 209-229, 1999., 1999 We consider Borel measures on a locally compact Hausdorff space whose values are linear functionals on a locally convex cone. We define integrals for cone‐valued functions and verify that continuous linear functionals on certain spaces of continuous cone‐valued functions endowed with an inductive limit topology may be represented by such integrals.
Walter Roth
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Multiplication operators on weighted spaces in the non‐locally convex framework
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 1, Page 75-79, 1997., 1995 Let X be a completely regular Hausdorff space, E a topological vector space, V a Nachbin family of weights on X, and CV0(X, E) the weighted space of continuous E‐valued functions on X. Let θ : X → C be a mapping, f ∈ CV0(X, E) and define Mθ(f) = θf (pointwise). In case E is a topological algebra, ψ : X → E is a mapping then define Mψ(f) = ψf (pointwise)
L. A. Khan, A. B. Thaheem
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L‐correspondences: the inclusion Lp(μ, X) ⊂ Lq(ν, Y)
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 723-726, 1996., 1995 In order to study inclusions of the type Lp(μ, X) ⊂ Lq(ν, Y), we introduce the notion of an L‐correspondence. After proving some basic theorems, we give characterizations of some types of L‐correspondences and offer a conjecture that is similar to an equimeasurability theorem.
C. Bryan Dawson
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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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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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