Anderson's theorem for compact operators

Hwa Long Gau; Pei Yuan Wu

doi:10.1090/S0002-9939-06-08699-0

Anderson's theorem for compact operators

Hwa Long Gau, Pei Yuan Wu

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

7 引文斯高帕斯（Scopus）

摘要

It is shown that if A is a compact operator on a Hilbert space with its numerical range W(A) contained in the closed unit disc double-struck D sign̄ and with W(A) intersecting the unit circle at infinitely many points, then W(A) is equal to double-struck D sign̄. This is an infinite-dimensional analogue of a result of Anderson for finite matrices.

原文	???core.languages.en_GB???
頁（從 - 到）	3159-3162
頁數	4
期刊	Proceedings of the American Mathematical Society
卷	134
發行號	11
DOIs	https://doi.org/10.1090/S0002-9939-06-08699-0
出版狀態	已出版 - 11月 2006

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10.1090/S0002-9939-06-08699-0

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Anderson's theorem for compact operators

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