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Mathematics 2017, 5(4), 83; https://doi.org/10.3390/math5040083

Isomorphic Classification of Reflexive Müntz Spaces

Department of Applied Mathematics, Moscow State Technological University (MIREA), av. Vernadsky 78, Moscow 119454, Russia
Received: 6 November 2017 / Revised: 1 December 2017 / Accepted: 5 December 2017 / Published: 18 December 2017
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Abstract

The article is devoted to reflexive Müntz spaces M Λ , p of L p functions with 1 < p < . The Stieltjes transform and a potential transform are studied for these spaces. Isomorphisms of the reflexive Müntz spaces fulfilling the gap and Müntz conditions are investigated. View Full-Text
Keywords: Banach space; Müntz space; reflexive; isomorphism; Schauder basis; Stieltjes transform Banach space; Müntz space; reflexive; isomorphism; Schauder basis; Stieltjes transform
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Ludkowski, S.V. Isomorphic Classification of Reflexive Müntz Spaces. Mathematics 2017, 5, 83.

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