Lower spectral radius and spectral mapping theorem for suprema preserving mappings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00490357" target="_blank" >RIV/67985840:_____/18:00490357 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3934/dcds.2018179" target="_blank" >http://dx.doi.org/10.3934/dcds.2018179</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcds.2018179" target="_blank" >10.3934/dcds.2018179</a>

Result language
angličtina
Original language name
Lower spectral radius and spectral mapping theorem for suprema preserving mappings
Original language description
We study Lipschitz, positively homogeneous and finite suprema preserving mappings defined on a max-cone of positive elements in a normed vector lattice. We prove that the lower spectral radius of such a mapping is always a minimum value of its approximate point spectrum. We apply this result to show that the spectral mapping theorem holds for the approximate point spectrum of such a mapping. By applying this spectral mapping theorem we obtain new inequalites for the Bonsall cone spectral radius of max-type kernel operators.
Czech name
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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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA17-00941S" target="_blank" >GA17-00941S: Topological and geometrical properties of Banach spaces and operator algebras II</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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