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Strong Coproximinality in Bochner Lp - Spaces and in Köthe Spaces.
- Source :
-
European Journal of Pure & Applied Mathematics . Jul2023, Vol. 16 Issue 3, p1543-1551. 9p. - Publication Year :
- 2023
-
Abstract
- In this paper, we study strong coproximinality in Bochner Lp -spaces and in the Köthe Bochner function space E(X). We investigate some conditions to be imposed on the subspace G of the Banach space X such that Lp (µ, G) is strongly coproximinal in Lp (µ, X), 1 ≤ p < ∞. On the other hand, we prove that if G is a separable subspace of X then G is strongly coproximinal in X if and only if E(G) is strongly coproximinal in E(X), provided that E is a strictly monotone Köthe space. This generalizes some results in the literature. Some other results in this direction are also presented. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FUNCTION spaces
*BANACH spaces
*COMMERCIAL space ventures
Subjects
Details
- Language :
- English
- ISSN :
- 13075543
- Volume :
- 16
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- European Journal of Pure & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 169896420
- Full Text :
- https://doi.org/10.29020/nybg.ejpam.v16i3.4800