Isomorphic Classification of Reflexive Müntz Spaces

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 4, 1-12

Abstract: The article is devoted to reflexive Müntz spaces M ? , 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.

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