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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 1, Pages 70–84 (Mi smj1696)  
This article is cited in 17 scientific papers (total in 17 papers)

A continuous linear right inverse of the representation operator and applications to the convolution operators

Yu. F. Korobeinik, S. N. Melikhov
Full-text PDF (1398 kB) Citations (17)
Abstract: A criterion for existence of a continuous linear right inverse operator for the surjective representation operator defined on a Kothe space of special type is obtained. Employing this criterion and a result of Monun we establish a criterion for existence of a continuous linear right inverse operator for any surjective convolution operator whose characteristic function is an entire function of exponential type.
Received: 18.02.1991
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 1, Pages 59–72
DOI: https://doi.org/10.1007/BF00971241
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: Yu. F. Korobeinik, S. N. Melikhov, “A continuous linear right inverse of the representation operator and applications to the convolution operators”, Sibirsk. Mat. Zh., 34:1 (1993), 70–84; Siberian Math. J., 34:1 (1993), 59–72
Citation in format AMSBIB
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\paper A continuous linear right inverse of the representation operator and applications to the convolution operators
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 1
\pages 70--84
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\zmath{https://zbmath.org/?q=an:0833.47044}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 1
\pages 59--72
\crossref{https://doi.org/10.1007/BF00971241}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993KZ84700007}
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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