Approximation in Müntz Spaces M Λ,p of L p Functions for 1 < p < ∞ and Bases

Sergey V. Ludkowski
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Sergey V. Ludkowski: Department of Applied Mathematics, Moscow State Technological University MIREA, Av. Vernadsky 78, Moscow 119454, Russia

Mathematics, 2017, vol. 5, issue 1, 1-14

Abstract: Müntz spaces satisfying the Müntz and gap conditions are considered. A Fourier approximation of functions in the Müntz spaces M Λ, p of L p functions is studied, where 1 < p < ∞. It is proven that up to an isomorphism and a change of variables, these spaces are contained in Weil–Nagy’s class. Moreover, the existence of Schauder bases in the Müntz spaces M Λ, p is investigated.

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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