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- Title
Approximation in weighted spaces of vector functions.
- Authors
BUCUR, ILEANA; PALTINEANU, GAVRIIL
- Abstract
In this paper, we present the duality theory for general weighted space of vector functions. We mention that a characterization of the dual of a weighted space of vector functions in the particular case V ϲ C+(X) is mentioned by J. B. Prolla in [6]. Also, we extend de Branges lemma in this new setting for convex cones of a weighted spaces of vector functions (Theorem 4.2). Using this theorem, we find various approximations results for weighted spaces of vector functions: Theorems 4.2-4.6 as well as Corollary 4.3. We mention also that a brief version of this paper, in the particular case V ϲ C+(X), is presented in [3], Chapter 2, subparagraph 2.5.
- Subjects
APPROXIMATION theory; RADON measures; DUALITY theory (Mathematics); MATHEMATICAL models; MATHEMATICAL analysis
- Publication
Constructive Mathematical Analysis, 2021, Vol 4, Issue 2, p242
- ISSN
2651-2939
- Publication type
Article
- DOI
10.33205/cma.825986