Table of Contents Author Guidelines Submit a Manuscript
Journal of Function Spaces
Volume 2015, Article ID 787291, 7 pages
Research Article

On the Geometry of Müntz Spaces

1Department of Applied Mathematics, Moscow State Technical University MIREA, Avenue Vernadsky 78, Moscow 119454, Russia
2Institute for Mathematics, University of Paderborn, Warburger Straße 100, 33098 Paderborn, Germany

Received 22 February 2015; Revised 14 April 2015; Accepted 17 April 2015

Academic Editor: Stanislav Hencl

Copyright © 2015 Sergey V. Ludkovsky and Wolfgang Lusky. 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.


Let satisfy , and . We investigate the Müntz spaces for . We show that, for each , there is a Müntz space which contains isomorphic copies of all Müntz spaces as complemented subspaces. is uniquely determined up to isomorphisms by this maximality property. We discuss explicit descriptions of . In particular is isomorphic to a Müntz space where consists of positive integers. Finally we show that the Banach spaces for and for are always isomorphic to suitable Müntz spaces if the are the spans of arbitrary finitely many monomials over .