On the spectrum in max algebra

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00446798" target="_blank" >RIV/67985840:_____/15:00446798 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.laa.2015.07.013" target="_blank" >http://dx.doi.org/10.1016/j.laa.2015.07.013</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.laa.2015.07.013" target="_blank" >10.1016/j.laa.2015.07.013</a>

Result language
angličtina
Original language name
On the spectrum in max algebra
Original language description
We give new proofs of several fundamental results of spectral theory in max algebra. This includes the description of the spectrum in max algebra of a given non-negative matrix via local spectral radii, the spectral theorem and the spectral mapping theorem in max algebra. The latter result is also generalized to the setting of power series in max algebra by applying certain continuity properties of the spectrum in max algebra. Our methods enable us to obtain some related results for the usual spectrum of complex matrices and distinguished spectrum for non-negative matrices.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA14-07880S" target="_blank" >GA14-07880S: Methods of function theory and Banach algebras in operator theory V.</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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