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http://hdl.handle.net/10071/8932
acessibilidade
Title: Hildebrandt's theorem for the essential spectrum
Authors: Bracic, J.
Diogo, C.
Keywords: Essential numerical range
Essential spectrum
Hildebrandt's theorem
Issue Date: 2015
Publisher: AGH University of Science and Technology Pres
Abstract: We prove a variant of Hildebrandt's theorem which asserts that the convex hull of the essential spectrum of an operator A on a complex Hilbert space is equal to the intersection of the essential numerical ranges of operators which are similar to A. As a consequence, it is given a necessary and sufficient condition for zero not being in the convex hull of the essential spectrum of A.
Peer reviewed: Sim
URI: https://ciencia.iscte-iul.pt/public/pub/id/22850
http://hdl.handle.net/10071/8932
ISSN: 1232-9274
Publisher version: The definitive version is available at: http://dx.doi.org/10.7494/OpMath.2015.35.3.279
Appears in Collections:DM-RI - Artigos em revistas científicas internacionais

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