Abstract
We have now accumulated enough material to pause for a while to discuss its consequences in concrete situations. We have revised linear algebra facts from a functional analytic perspective and obtained a construction to get functions of matrices in a coordinate-free manner, without the use of the Jordan normal form. This was useful when we considered positive matrices, and enabled us to see important and deep spectral consequences of positivity.
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Bátkai, A., Fijavž, M.K., Rhandi, A. (2017). Applications of Positive Matrices. In: Positive Operator Semigroups. Operator Theory: Advances and Applications, vol 257. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-42813-0_6
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DOI: https://doi.org/10.1007/978-3-319-42813-0_6
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-42811-6
Online ISBN: 978-3-319-42813-0
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