An extension of a result by Talalyan on the representation of measurable functions by Schauder bases
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- by Ben-Ami Braun PDF
- Proc. Amer. Math. Soc. 34 (1972), 440-446 Request permission
Abstract:
We define a class of Banach spaces which in particular include the ${L^p},1 \leqq p < \infty$, and the separable Orlicz spaces. We show that an arbitrary measurable function can be represented by a series of any Schauder basis chosen from that class of Banach spaces.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 34 (1972), 440-446
- MSC: Primary 46E30; Secondary 28A20
- DOI: https://doi.org/10.1090/S0002-9939-1972-0295070-0
- MathSciNet review: 0295070