Matrices Over Nondivision Algebras Without Eigenvalues

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F15%3A43900572" target="_blank" >RIV/60461373:22340/15:43900572 - isvavai.cz</a>
Alternative codes found
RIV/60461373:22340/16:43902667
Result on the web
<a href="http://link.springer.com/article/10.1007/s00006-015-0615-0" target="_blank" >http://link.springer.com/article/10.1007/s00006-015-0615-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00006-015-0615-0" target="_blank" >10.1007/s00006-015-0615-0</a>

Result language
angličtina
Original language name
Matrices Over Nondivision Algebras Without Eigenvalues
Original language description
We are concerned with matrices over nondivision algebras and show by an example from an R^4 algebra that these matrices do not necessarily have eigenvalues, even if they are invertible. The standard condition for eigenvectors to be nonzero will be replaced by the condition that x contains at least one invertible component. The topic is of principal interest, and leads to the question what qualifies a matrix over a nondivision algebra to have eigenvalues. And connected with this problem there is the question, whether these matrices are diagonalizable or triangulizable and allow a Schur decomposition.
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
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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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