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Titlebook: Classes of Linear Operators Vol. I; Israel Gohberg,Seymour Goldberg,Marinus A. Kaashoe Book 1990 Springer Basel AG 1990 Area.Eigenvalue.Fu

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發(fā)表于 2025-3-21 17:12:23 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Classes of Linear Operators Vol. I
編輯Israel Gohberg,Seymour Goldberg,Marinus A. Kaashoe
視頻videohttp://file.papertrans.cn/228/227026/227026.mp4
叢書名稱Operator Theory: Advances and Applications
圖書封面Titlebook: Classes of Linear Operators Vol. I;  Israel Gohberg,Seymour Goldberg,Marinus A. Kaashoe Book 1990 Springer Basel AG 1990 Area.Eigenvalue.Fu
描述After the book "Basic Operator Theory" by Gohberg-Goldberg was pub- lished, we, that is the present authors, intended to continue with another book which would show the readers the large variety of classes of operators and the important role they play in applications. The book was planned to be of modest size, but due to the profusion of results in this area of analysis, the number of topics grew larger than ex- pected. Consequently, we decided to divide the material into two volumes - the first volume being presented now. During the past years, courses and seminars were given at our respective in- stitutions based on parts of the texts. These were well received by the audience and enabled us to make appropriate choices for the topics and presentation for the two vol- umes. We would like to thank G.J. Groenewald, A.B. Kuijper and A.C.M. Ran of the Vrije Universiteit at Amsterdam, who provided us with lists of remarks and corrections. We are now aware that the Basic Operator Theory book should be revised so that it may suitably fit in with our present volumes. This revision is planned to be the last step of an induction and not the first.
出版日期Book 1990
關(guān)鍵詞Area; Eigenvalue; Fusion; Volume; boundary element method; calculus; differential operator; integral; operat
版次1
doihttps://doi.org/10.1007/978-3-0348-7509-7
isbn_softcover978-3-0348-7511-0
isbn_ebook978-3-0348-7509-7Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightSpringer Basel AG 1990
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Eigenvalues of Finite Typeeigenvalues of finite matrices. The problem of completeness of eigenvectors and generalized eigenvectors appears in a natural way. The results are applied to compact operators. This chapter also contains limit theorems for spectra and the infinite dimensional version of Schur’s lemma about triangula
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地板
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Linear Operator Pencilsxample is the case when . = . and . = ., the identity operator on .. This case was already considered in the previous chapters. If . is invertible, then spectral problems concerning the pencil . ? . are easily reduced to those of . ? .... In this chapter we consider the more general case when . is n
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Integral Operators with Semi-Separable Kernelsnversion properties may be read off from certain finite dimensional operators. In the case when the operators are also trace class, their trace and determinant may be computed explicitly in terms of the associated finite dimensional operators.
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