Linear operators in spaces with indefinite metric and their applications
Copyright policy )Linear operators in spaces with indefinite metric and their applications
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.
extension theory, Invariant subspaces of linear operators, Research exposition (monographs, survey articles) pertaining to operator theory, Pontrjagin spaces, spectral theory, Krein spaces, Miscellaneous applications of functional analysis, Linear operators on spaces with an indefinite metric, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), invariant subspace problems, indefinite inner product spaces, Spectrum, resolvent
extension theory, Invariant subspaces of linear operators, Research exposition (monographs, survey articles) pertaining to operator theory, Pontrjagin spaces, spectral theory, Krein spaces, Miscellaneous applications of functional analysis, Linear operators on spaces with an indefinite metric, Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.), invariant subspace problems, indefinite inner product spaces, Spectrum, resolvent
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