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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 5, Pages 3–16 (Mi ivm8994)  
This article is cited in 6 scientific papers (total in 6 papers)

On some functional calculus of closed operators in a Banach space. II

A. A. Atvinovskii, A. R. Mirotin

Chair of Mathematical Analysis, Gomel State University, 104 Sovetskaya str., Gomel, 246019 Republic of Belarus
Full-text PDF (232 kB) Citations (6)
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Abstract: We develop a functional calculus for a class of closed operators in Banach space. We establish several properties of the calculus under consideration such as continuity, stability, the uniqueness theorem, the spectral mapping theorem, the inversion theorem and some others. In the authors' preceding work the analogous functional calculus was developed for more narrow class of operators.
Keywords: Markov function, Krein class, functional calculus, Hirsch functional calculus, closed operator.
Received: 03.12.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 5, Pages 1–12
DOI: https://doi.org/10.3103/S1066369X15050011
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: A. A. Atvinovskii, A. R. Mirotin, “On some functional calculus of closed operators in a Banach space. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 5, 3–16; Russian Math. (Iz. VUZ), 59:5 (2015), 1–12
Citation in format AMSBIB
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\by A.~A.~Atvinovskii, A.~R.~Mirotin
\paper On some functional calculus of closed operators in a~Banach space.~II
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 5
\pages 3--16
\mathnet{http://mi.mathnet.ru/ivm8994}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 5
\pages 1--12
\crossref{https://doi.org/10.3103/S1066369X15050011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928595804}
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    Cycle of papers
    This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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