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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 5, Pages 3–16
(Mi ivm8994)
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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
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
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
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https://www.mathnet.ru/eng/ivm8994 https://www.mathnet.ru/eng/ivm/y2015/i5/p3
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Abstract page: | 208 | Full-text PDF : | 54 | References: | 37 | First page: | 10 |
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