The joint essential numerical range, compact perturbations, and the Olsen problem

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SYSNO ASEP	0342843
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	The joint essential numerical range, compact perturbations, and the Olsen problem
Author(s)	Müller, Vladimír (MU-W)_{RID, SAI}
Source Title	Studia mathematica. - : Polska Akademia Nauk - ISSN 0039-3223 Roč. 197, č. 3 (2010), s. 275-290
Number of pages	16 s.
Language	eng - English
Country	PL - Poland
Keywords	joint essential numerical range ; joint numerical range ; compact perturbation ; Olsen's problem
Subject RIV	BA - General Mathematics
R&D Projects	GA201/09/0473 GA ČR - Czech Science Foundation (CSF)
	IAA100190903 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000277765100005
EID SCOPUS	77953234506
DOI	10.4064/sm197-3-5
Annotation	Let T be an n-tuple of bounded linear operators on a complex Hilbert space H. Then there exists an n-tuple K of compact operators such that the essential numerical range of T equals to the closure of the numerical range of T+K. This generalices the corresponding resoult for n=1. The result is also applied to the Olsen problem.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2011

Number of the records: 1