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Reflexivity of a Banach Space with a Countable Vector Space Basis
- Source :
- IOSR Journal of Mathematics (IOSR-JM), 18(1), (2022): pp. 36-38
- Publication Year :
- 2022
-
Abstract
- All most all the function spaces over real or complex domains and spaces of sequences, that arise in practice as examples of normed complete linear spaces (Banach spaces), are reflexive. These Banach spaces are dual to their respective spaces of continuous linear functionals over the corresponding Banach spaces. For each of these Banach spaces, a countable vector space basis exists, which is responsible for their reflexivity. In this paper, a specific criterion for reflexivity of a Banach space with a countable vector space basis is presented.
- Subjects :
- Mathematics - General Mathematics
Subjects
Details
- Database :
- arXiv
- Journal :
- IOSR Journal of Mathematics (IOSR-JM), 18(1), (2022): pp. 36-38
- Publication Type :
- Report
- Accession number :
- edsarx.2202.12931
- Document Type :
- Working Paper