Linear operators in spaces with an indefinite metric
著者
書誌事項
Linear operators in spaces with an indefinite metric
（Pure and applied mathematics）
Wiley, c1989
- タイトル別名
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Osnovy teorii lineĭnykh operatorov v prostranstvakh s indefinitnoĭ metrikoĭ
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注記
Translation of: Osnovy teorii lineĭnykh operatorov v prostranstvakh s indefinitnoĭ metrikoĭ
"A Wiley-Interscience publication"
Bibliography: p. 286-300
Includes index
内容説明・目次
内容説明
This research monograph forms an introduction to the geometry of spaces with an indefinite metric. It then goes on to develop 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. The subject has applications to a wide variety of fields, including differential equation theory, geometry and theoretical physics. Some of these applications are described in the book. Each section concludes with problems and, in many cases, hints to their solution are also included.
目次
- The geometry of spaces with an indefinite metric
- fundamental classes of operators in spaces with an indefinite metric
- invariant semi-definite subspaces
- spectral topics and some applications
- theory of extensions of isometric and symmetric operators in spaces with an indefinite metric.
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