Results 11 to 20 of about 377 (61)
Properties of multiplication operators on the space of functions of bounded φ-variation
Open Mathematics, 2021 In this paper, the functions u∈BVφ[0,1]u\in B{V}_{\varphi }\left[0,1] which define compact and Fredholm multiplication operators Mu{M}_{u} acting on the space of functions of bounded φ\varphi -variation are studied.
Castillo René E. +2 more
doaj +1 more source
Maps preserving common zeros between subspaces of vector-valued continuous functions [PDF]
, 2009 For metric spaces $X$ and $Y$, normed spaces $E$ and $F$, and certain subspaces $A(X,E)$ and $A(Y,F)$ of vector-valued continuous functions, we obtain a complete characterization of linear and bijective maps $T:A(X,E)\to A(Y,F)$ preserving common zeros ...
Dubarbie, Luis
core +1 more source
Algebraic reflexivity of sets of bounded linear operators on absolutely continuous function spaces
Operators and Matrices, 2019 In this paper we deal with the algebraic reflexivity of sets of bounded linear operators on absolutely continuous vector-valued function spaces. As a consequence, it is shown that the set of all surjective linear isometries, the set of all isometric ...
Maliheh Hosseini
semanticscholar +1 more source
Linear orthogonality preservers of Hilbert bundles [PDF]
, 2010 Due to the corresponding fact concerning Hilbert spaces, it is natural to ask if the linearity and the orthogonality structure of a Hilbert $C^*$-module determine its $C^*$-algebra-valued inner product.
Leung, Chi-Wai +2 more
core +2 more sources
Regular Banach space net and abstract-valued Orlicz space of range-varying type
Open Mathematics, 2019 This paper investigates the abstract-valued Orlicz space of range-varying type. We firstly give the notions and examples of partially continuous modular net and regular Banach space net of type (II), then deal with the definitions, constructions, and ...
Zhang Qinghua, Zhu Yueping
doaj +1 more source
On Semi-Fredholm Band-Dominated Operators [PDF]
, 2014 In this paper we study the semi-Fredholm property of band-dominated operators $A$ and prove that it already implies the Fredholmness of $A$ in all cases where this is not disqualified by obvious reasons. Moreover, this observation is applied to show that
Seidel, Markus
core +1 more source
On Integral Operators with Operator Valued Kernels [PDF]
, 2009 Here Lq-Lp boundedness of integral operator with operator-valued kernels is studied and the main result is applied to convolution operators. Using these results Besov space regularity for Fourier multiplier operator is established.Comment: 9 ...
Shahmurov, Rishad
core +3 more sources
Dimension Distortion by Sobolev Mappings in Foliated Metric Spaces
Analysis and Geometry in Metric Spaces, 2013 We quantify the extent to which a supercritical Sobolev mapping can increase the dimension of subsets of its domain, in the setting of metric measure spaces supporting a Poincaré inequality. We show that the set of mappings that distort the dimensions of
Balogh Zoltán M. +2 more
doaj +1 more source
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
Operator-weighted composition operators on vector-valued Bloch spaces
, 2018 Let φ be an analytic self-map of D and ψ be an analytic operator-valued function on D . Then the operator-weighted composition operator Wψ,φ is defined by (Wψ,φ f )(z) = ψ(z) f (φ(z)), z ∈ D, where f is an analytic function D → X , X is any complex ...
M. Hassanlou
semanticscholar +1 more source