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Titlebook: Contributions to Operator Theory in Spaces with an Indefinite Metric; The Heinz Langer Ann Aalt Dijksma,Israel Gohberg,Reinhard Mennicken B

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发表于 2025-3-21 16:18:11 | 显示全部楼层 |阅读模式
书目名称Contributions to Operator Theory in Spaces with an Indefinite Metric
副标题The Heinz Langer Ann
编辑Aalt Dijksma,Israel Gohberg,Reinhard Mennicken
视频video
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: Contributions to Operator Theory in Spaces with an Indefinite Metric; The Heinz Langer Ann Aalt Dijksma,Israel Gohberg,Reinhard Mennicken B
描述.This volume is dedicated to Heinz Langer, a leading expert in spectral analysis and its applications, in particular to operators in spaces with an indefinite metric, on the occasion of his 60th birthday..The book begins with his biography and list of publications. It contains a selection of research papers, most of which are devoted to spectral analysis of operators or operator pencils with applications to ordinary and partial differential equations. Other papers deal with time-varying systems, interpolation and factorization problems, and topics from mathematical physics. About half of the papers contain further developments in the theory of operators in spaces with an indefinite metric and treat new applications. The book is of interest to a wide audience of pure and applied mathematicians..
出版日期Book 1998
关键词Finite; Operator theory; differential equation; equation; partial differential equation
版次1
doihttps://doi.org/10.1007/978-3-0348-8812-7
isbn_softcover978-3-0348-9782-2
isbn_ebook978-3-0348-8812-7Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightSpringer Basel AG 1998
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Perturbations of Krein spaces preserving the nonsingularity of the critical point infinity,n we show that these properties remain true for a certain perturbation of the operator, acting in a slightly perturbed Krein space. This result is applied to elliptic differential operators with indefinite weights and to certain difference operators.
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Visualisierung meteorologischer Datenat similar realizations exist in the “nonstationary setting”, i.e. when one considers upper triangular contractions (which appear in time-variant system theory as “transfer functions” of dissipative systems). Two approaches are used: complementation theory and an approach based on the theory of rela
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Implementation der Tele-Media-Architektur,stems and separated selfadjoint boundary conditions. We show, that . is isomet-rically isomorphic to the operator of multiplication with the independent variable in the Hilbert space ..(ℝ), where the matrix-valued mapping . can be calculated via the Stieltjes inversion formula from a Nevanlinna matr
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The Epidemiology of Parasitic Diseases in ,genvalue problem (when .(λ) = λ . − .), the spectrum of .(λ) is contained in its numerical range. Properties of the numerical range are investigated with special emphasis on the cases when .(λ) has only real spectrum (and, possibly, the point at infinity) and when the coefficients of the matrix poly
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https://doi.org/10.1007/978-3-642-60725-7tical points, see [9]; if neither of these points is a singular critical point then . is similar to a Hilbert space selfadjoint operator, that is, it is a scalar operator with real spectrum (see [9] for the definition and properties of the Krein space operators).
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