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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. 275-290Number 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 https://doi.org/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
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