Results 11 to 20 of about 26 (26)

On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces

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
wiley   +1 more source

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
wiley   +1 more source

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
wiley   +1 more source

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
wiley   +1 more source

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
wiley   +1 more source

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
wiley   +1 more source

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
wiley   +1 more source

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
wiley   +1 more source

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

(q, p)-Mixing Bloch maps

Demonstratio Mathematica
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, Ruiz-Casternado David   +1 more
doaj   +1 more source