A perturbation characterization of compactness of self-adjoint operators
Publication in refereed journal

香港中文大學研究人員

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摘要A characterization of compactness of a given self-adjoint bounded operator A on a separable infinite-dimensional Hilbert space is established in terms of the spectrum of perturbations. An example is presented to show that without separability, the perturbation condition, which is always necessary, is not sufficient. For non-separable spaces, another condition on the self-adjoint operator A, which is necessary and sufficient for the perturbation, is given.
著者Radjavi H, Tam PK, Tan KK
期刊名稱Studia Mathematica
出版年份2003
月份1
日期1
卷號158
期次3
出版社POLISH ACAD SCIENCES INST MATHEMATICS
頁次199 - 205
國際標準期刊號0039-3223
語言英式英語
關鍵詞compact operator; self-adjoint; spectrum
Web of Science 學科類別Mathematics; MATHEMATICS

上次更新時間 2020-27-10 於 01:41