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Matematicheskie Zametki, 1978, Volume 23, Issue 3, Pages 417–423 (Mi mzm8157)  
This article is cited in 1 scientific paper (total in 1 paper)

Operators of discrete convolution type and their Noetherianess

B. J. Steinberg

Rostov State University
Full-text PDF (492 kB) Citations (1)
Abstract: The class of all multiplication operators is described which up to a compact summand commute with the convolution operators in $L_p(H)$ $(1\le p\le\infty)$, where $H$ is an infinite discrete Abelian group. A criterion is established for the operators in the algebra generated by these multiplication operators and the convolution operators to be Noetherian.
Received: 24.06.1976
English version:
Mathematical Notes, 1978, Volume 23, Issue 3, Pages 227–230
DOI: https://doi.org/10.1007/BF01651437
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: B. J. Steinberg, “Operators of discrete convolution type and their Noetherianess”, Mat. Zametki, 23:3 (1978), 417–423; Math. Notes, 23:3 (1978), 227–230
Citation in format AMSBIB
\Bibitem{Ste78}
\by B.~J.~Steinberg
\paper Operators of discrete convolution type and their Noetherianess
\jour Mat. Zametki
\yr 1978
\vol 23
\issue 3
\pages 417--423
\mathnet{http://mi.mathnet.ru/mzm8157}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=473906}
\zmath{https://zbmath.org/?q=an:0404.47022|0391.47029}
\transl
\jour Math. Notes
\yr 1978
\vol 23
\issue 3
\pages 227--230
\crossref{https://doi.org/10.1007/BF01651437}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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