Anderson's theorem for compact operators

Hwa Long Gau, Pei Yuan Wu

研究成果: 雜誌貢獻期刊論文同行評審

5 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
134
發行號11
DOIs
出版狀態已出版 - 11月 2006

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