Joint numerical ranges and compressions of powers of operators

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00501201" target="_blank" >RIV/67985840:_____/19:00501201 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1112/jlms.12165" target="_blank" >http://dx.doi.org/10.1112/jlms.12165</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1112/jlms.12165" target="_blank" >10.1112/jlms.12165</a>

Result language
angličtina
Original language name
Joint numerical ranges and compressions of powers of operators
Original language description
We identify subsets of the joint numerical range of an operator tuple in terms of its joint spectrum. This result helps us to transfer weak convergence of operator orbits into certain approximation and interpolation properties for powers in the uniform operator topology. This is a far-reaching generalization of one of the main results in our recent paper [Müller and Tomilov, J. Funct. Anal. 274 (2018) 433-460]. Moreover, it yields an essential (but partial) generalization of Bourin's 'pinching' theorem from [Bourin, J. Operator Theory 50 (2003) 211-220]. It also allows us to revisit several basic results on joint numerical ranges, provide them with new proofs and find a number of new results.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA17-27844S" target="_blank" >GA17-27844S: Generic objects</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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