Anderson's theorem for compact operators

Title:	Anderson's theorem for compact operators
Authors:	Gau, Hwa-Long Wu, Pei Yuan 應用化學系 Department of Applied Chemistry
Keywords:	numerical range;compact operator
Issue Date:	2006
Abstract:	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
Journal:	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume:	134
Issue:	11
Begin Page:	3159
End Page:	3162
Appears in Collections:	Articles

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