Results 21 to 30 of about 377 (61)
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
On the super-stability of trigonometric Hilbert-valued functional equations
, 2014 We generalize the super-stability result for cosine functional equation mappings with values in the field of complex numbers to the case of an arbitrary Hilbert space with the Hadamard product.
H. Rezaei
semanticscholar +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
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Abstract-valued Orlicz spaces of range-varying type
Open Mathematics, 2018 This paper mainly deals with the abstract-valued Orlicz spaces of range-varying type. Using notions of Banach space net and continuous modular net etc., we give definitions of Lϱθ(⋅)(I, Xθ(⋅)) and L+ϱθ(⋅)$\begin{array}{} L_{+}^{\varrho_{\theta(\cdot)}} \
Zhang Qinghua
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Lorentz space estimates for vector fields with divergence and curl in Hardy spaces [PDF]
, 2013 In this note, we establish the estimate on the Lorentz space $L(3/2,1)$ for vector fields in bounded domains under the assumption that the normal or the tangential component of the vector fields on the boundary vanishing.
Giga, Yoshikazu, Xiang, Xingfei
core +2 more sources
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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Boundedness of vector-valued B-singular integral operators in Lebesgue spaces
Open Mathematics, 2017 We study the vector-valued B-singular integral operators associated with the Laplace-Bessel differential operator △B=∑k=1n−1∂2∂xk2+(∂2∂xn2+2vxn∂∂xn),v>0. $$\triangle_{B}=\sum\limits_{k=1}^{n-1}\frac{\partial^{2}}{\partial x_{k}^{2}}+(\frac{\partial^{2}}{\
Keles Seyda, Omarova Mehriban N.
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Solution to the first Cousin problem for vector-valued quasianalytic functions [PDF]
, 2017 We study spaces of vector-valued quasianalytic functions and solve the first Cousin problem in these spaces.Comment: 23 ...
Debrouwere, Andreas, Vindas, Jasson
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On the super-stability of exponential Hilbert-valued functional equations
, 2011 We generalize the well-known Baker's super-stability result for exponential mappings with values in the field of complex numbers to the case of an arbitrary Hilbert space with the Hadamard product.
H. Rezaei, M. Sharifzadeh
semanticscholar +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
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