APPROXIMATION IN BANACH ALGEBRAS OF VECTOR-VALUED FUNCTION SPACES
In this paper, we give a criterion for the density of a subspace of lip _{alpha} (X; S) when (X; d) is a compact metric space, S is a complex Banach space and 0 < alpha< 1. In the case where X = [a; b], we conclude that Lip1(X; S) is dense in lip _{alpha}(X; S). Also, using Bochner spaces and...
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| Format: | Article |
| Language: | fas |
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Kharazmi University
2021-09-01
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| Series: | پژوهشهای ریاضی |
| Subjects: | |
| Online Access: | http://mmr.khu.ac.ir/article-1-2977-en.html |
| Summary: | In this paper, we give a criterion for the density of a subspace of lip _{alpha} (X; S)
when (X; d) is a compact metric space, S is a complex Banach space and 0 < alpha< 1.
In the case where X = [a; b], we conclude that Lip1(X; S) is dense in lip _{alpha}(X; S). Also,
using Bochner spaces and the duality we show that C1([a; b]; S), the space of continuously
differentiable S-valued functions on [a; b], is dense in lip _{alpha} ([a; b]; S)../files/site1/files/72/2Abstract.pdf |
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| ISSN: | 2588-2546 2588-2554 |