On the serial completion of deleted Schauder bases by domain adjustment
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- by Ben-Ami Braun PDF
- Proc. Amer. Math. Soc. 44 (1974), 427-431 Request permission
Abstract:
Given a Schauder basis in a Banach function space of a specified type, one can delete any finite number of elements of the basis and still preserve serial totality by making an arbitrarily small adjustment of the domain.References
- Ben-Ami Braun, An extension of a result by Talalyan on the representation of measurable functions by Schauder bases, Proc. Amer. Math. Soc. 34 (1972), 440–446. MR 295070, DOI 10.1090/S0002-9939-1972-0295070-0
- A. A. Talalyan, On the convergence almost everywhere of subsequences of partial sums of general orthogonal series, Akad. Nauk Armyan. SSR. Izv. Fiz.-Mat. Estest. Tehn. Nauki 10 (1957), no. 3, 17–34 (Russian, with Armenian summary). MR 0089940
- A. A. Talaljan, The representation of measurable functions by series, Russian Math. Surveys 15 (1960), no. 5, 75–136. MR 0125401, DOI 10.1070/RM1960v015n05ABEH001115
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 44 (1974), 427-431
- MSC: Primary 46E30
- DOI: https://doi.org/10.1090/S0002-9939-1974-0355565-X
- MathSciNet review: 0355565