Linear Operators in Spaces with an Indefinite Metric (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

A monograph on the fundamentals of the theory of linear operators in spaces with an indefinite metric. Introduces the geometry of spaces with indefinite metric, and the central topics of operator theory, and explores variations on the theme. The theory is set out in Krein and Pontryagin spaces, with passing reference made to generalizations to Banach spaces and simply normed spaces. Also considers the application of the geometry and operator theory to actual problems. Includes examples, exercises and problems. An introduction to the geometry of spaces, this research monograph develops the foundations of the theory of linear operators in these spaces and examines the theory of invariant subspaces, spectral questions and the question of the extension of operators. T.ya. Azizov, I.s. Iokhvidov ; Translated By E.r. Dawson. Translation Of: Osnovy Teorii Lineĭnykh Operatorov V Prostranstvakh S Indefinitnoĭ Metrikoĭ. Includes Bibliographical References.