Demonstratio Mathematica (Oct 2017)

Two properties of Müntz spaces

Abrahamsen Trond A.,
Leraand Aleksander,
Martiny André,
Nygaard Olav

Affiliations

Abrahamsen Trond A.: Department of Mathematics, University of Agder, Postboks 422, 4604 Kristiansand, Norway
Leraand Aleksander: Department of Mathematics, University of Agder, Postboks 422, 4604 Kristiansand, Norway
Martiny André: Department of Mathematics, University of Agder, Postboks 422, 4604 Kristiansand, Norway
Nygaard Olav: Department of Mathematics, University of Agder, Postboks 422, 4604 Kristiansand, Norway

DOI: https://doi.org/10.1515/dema-2017-0025
Journal volume & issue: Vol. 50, no. 1
pp. 239 – 244

Abstract

We show that Müntz spaces, as subspaces of C[0, 1], contain asymptotically isometric copies of c0 and that their dual spaces are octahedral.

Published in Demonstratio Mathematica

ISSN: 2391-4661 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/dema/html

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