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This article is cited in 56 scientific papers (total in 57 papers)
Banach bundles and linear operators
M. G. Zaidenberg, S. G. Krein, P. A. Kuchment, A. A. Pankov
Abstract:
This paper has the character of a survey. In it we consider questions in the theory of Fredholm (Noether) and semi-Fredholm operators on a Banach space that depend on
a many-dimensional parameter. The paper divides naturally into two parts: the theory of operators depending continuously on a parameter (§ 1–2), and the theory of operators depending holomorphically on a parameter (§ 3–5). The theory of Banach bundles provides a natural apparatus for the study of these questions. In this connection we give a detailed account of a number of parts of this theory.
In addition, we quote, with proofs, some fundamental facts in functional analysis that have been obtained in the past ten or twenty years and are not well represented in the monographs and text-books.
Received: 16.08.1974
Citation:
M. G. Zaidenberg, S. G. Krein, P. A. Kuchment, A. A. Pankov, “Banach bundles and linear operators”, Uspekhi Mat. Nauk, 30:5(185) (1975), 101–157; Russian Math. Surveys, 30:5 (1975), 115–175
Linking options:
https://www.mathnet.ru/eng/rm4239https://doi.org/10.1070/RM1975v030n05ABEH001523 https://www.mathnet.ru/eng/rm/v30/i5/p101
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Abstract page: | 1189 | Russian version PDF: | 416 | English version PDF: | 46 | References: | 73 | First page: | 2 |
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