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This article is cited in 8 scientific papers (total in 8 papers)
On invertibility states of differential and difference operators
A. G. Baskakov, V. B. Didenko Voronezh State University
Abstract:
To every differential operator with unbounded operator coefficients
we assign a difference operator in a space of bounded sequences.
We prove the coincidence of the invertibility states of these
operators (this means that the properties of the images and kernels
of these operators coincide). We give a general scheme for proving
the coincidence of the invertibility states of two abstract operators.
Keywords:
invertibility states, Fredholm property, family of evolution operators,
differential operator, difference operator.
Received: 10.03.2016
Citation:
A. G. Baskakov, V. B. Didenko, “On invertibility states of differential and difference operators”, Izv. RAN. Ser. Mat., 82:1 (2018), 3–16; Izv. Math., 82:1 (2018), 1–13
Linking options:
https://www.mathnet.ru/eng/im8543https://doi.org/10.1070/IM8543 https://www.mathnet.ru/eng/im/v82/i1/p3
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Abstract page: | 896 | Russian version PDF: | 79 | English version PDF: | 11 | References: | 131 | First page: | 105 |
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