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Matematicheskie Zametki, 1998, Volume 64, Issue 3, Pages 423–430
DOI: https://doi.org/10.4213/mzm1413
(Mi mzm1413)
 

This article is cited in 8 scientific papers (total in 8 papers)

Functions from the Schoenberg class $\mathscr T$ act in the cone of dissipative elements of a Banach algebra. II

A. R. Mirotin

Francisk Skorina Gomel State University
Full-text PDF (192 kB) Citations (8)
References:
Abstract: The functional calculus of several commuting dissipative elements of a complex Banach algebra with identity, first introduced in the preceding work by the author, is developed. Uniqueness, continuity, and stability theorems, composite function theorems, and a formula for the resolvent are established. Applications to the theory of sectorial operators in Hilbert space are given.
Received: 01.08.1997
English version:
Mathematical Notes, 1998, Volume 64, Issue 3, Pages 364–370
DOI: https://doi.org/10.1007/BF02314846
Bibliographic databases:
UDC: 517
Language: Russian
Citation: A. R. Mirotin, “Functions from the Schoenberg class $\mathscr T$ act in the cone of dissipative elements of a Banach algebra. II”, Mat. Zametki, 64:3 (1998), 423–430; Math. Notes, 64:3 (1998), 364–370
Citation in format AMSBIB
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\by A.~R.~Mirotin
\paper Functions from the Schoenberg class $\mathscr T$ act in the cone of dissipative elements of a Banach algebra.~II
\jour Mat. Zametki
\yr 1998
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\issue 3
\pages 423--430
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\zmath{https://zbmath.org/?q=an:0938.47011}
\transl
\jour Math. Notes
\yr 1998
\vol 64
\issue 3
\pages 364--370
\crossref{https://doi.org/10.1007/BF02314846}
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  • https://www.mathnet.ru/eng/mzm1413
  • https://doi.org/10.4213/mzm1413
  • https://www.mathnet.ru/eng/mzm/v64/i3/p423
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Full-text PDF :182
    References:56
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