Anderson's theorem for compact operators

標題:	Anderson's theorem for compact operators
作者:	Gau, Hwa-Long Wu, Pei Yuan 應用化學系 Department of Applied Chemistry
關鍵字:	numerical range;compact operator
公開日期:	2006
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 (D) over bar and with W(A) intersecting the unit circle at infinitely many points, then (WA) over bar is equal to (D) over bar. This is an infinite-dimensional analogue of a result of Anderson for finite matrices.
URI:	http://hdl.handle.net/11536/12869 http://dx.doi.org/10.1090/S0002-9939-06-08699-0
ISSN:	0002-9939
DOI:	10.1090/S0002-9939-06-08699-0
期刊:	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume:	134
Issue:	11
起始頁:	3159
結束頁:	3162
Appears in Collections:	Articles

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