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Linear operators in spaces with indefinite metric and their applications

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Abstract

The paper contains a survey of papers reviewed in Ref. Zh. Matematika from 1953–1978 on the theory of linear operators in (mainly Hibert) spaces with indefinite metric and their applications to various domains of mathematics and mechanics. As a preliminary, the needed results on the geometry of spaces with indefinite metric are described.

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  1. T. Ya. Azizov
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Translated from Itogi Nauki i Tekhniki, Matematicheskii Analiz, Vol. 17, pp. 113–206, 1979.

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Azizov, T.Y., Iokhvidov, I.S. Linear operators in spaces with indefinite metric and their applications. J Math Sci 15, 438–490 (1981). https://doi.org/10.1007/BF01375563

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