Acta Mathematica Hungarica
Volume/Issue:
Volume 114: Issue 1-2
Riesz-type representation for positive linear operators preserving continuity
Authors:
H. Gonska University of Duisburg-Essen Department of Mathematics D-47048 Duisburg Germany D-47048 Duisburg Germany

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and
R. Păltănea ‘Transilvania’ University Department of Mathematics RO-500 036 Braşov Romania RO-500 036 Braşov Romania

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Pages:
153–163
Online Publication Date:
22 Nov 2006
Publication Date:
01 Jan 2007
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-006-0519-5
Keywords:
Riesz representation theorem; positive linear operators; functions of bounded variation; 41A36; 47A67; 46A45
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Abstract  

A Riesz-type representation theorem is given for all positive linear endomorphisms of the space of continuous functions on a compact interval.

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
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 0236-5294 (Print)
ISSN 1588-2632 (Online)

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