Analysis Mathematica
Volume/Issue:
Volume 34: Issue 2
Плотность системы тригонометрических полиномов в Lp, 0 < p < 1
Authors: L. Klotz 1 and K. Kürsten 1
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  • 1 Universität Leipzig, Mathematisches Institut Postfach 10 09 20 D-04009 Leipzig Germany
Pages:
105–117
Online Publication Date:
20 Sep 2008
Publication Date:
01 Jun 2008
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10476-008-0202-x
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Abstract  

Suppose that μ is a nonnegative finite regular Borel measure on an infinite compact abelian group Γ. Let M be a finite subset of the dual group G of Γ. It is shown that if p ∈ (0, 1), then the linear span of GobM is dense in Lp(μ). The result is extended to Lp-spaces of operator-valued functions which are p-integrable with respect to certain operator-valued measures. An application to a theorem by Koosis is given.

Cover Analysis Mathematica
Analysis Mathematica
Print ISSN:
0133-3852
Online ISSN:
1588-273X

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Analysis Mathematica
Language English
Size B5
Year of
Foundation		 1975
Volumes
per Year		 1
Issues
per Year		 4
Founder Akadémiai Kiadó
Founder's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0133-3852 (Print)
ISSN 1588-273X (Online)

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