Banach Subspaces of Continuous Functions Possessing Schauder Bases

Sergey V. Ludkowski
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Sergey V. Ludkowski: Department of Applied Mathematics, Moscow State Technological University MIREA, Moscow 119454, Russia

Mathematics, 2017, vol. 5, issue 3, 1-10

Abstract: In this article, Müntz spaces M ? , C of continuous functions supplied with the absolute maximum norm are considered. An existence of Schauder bases in Müntz spaces M ? , C is investigated. Moreover, Fourier series approximation of functions in Müntz spaces M ? , C is studied.

Keywords: Banach space; Müntz space; isomorphism; Schauder basis; Fourier series (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
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