Bibliografiset tiedot
| Nimeke: |
A characterization of real matrix semigroups. |
| Tekijät: |
Bauer, Benedict1 (AUTHOR) benedict.bauer@univie.ac.at, Gerhold, Stefan2 (AUTHOR) |
| Lähde: |
Research in Mathematics. Jan2024, Vol. 11 Issue 1, p1-10. 10p. |
| Asiasanat: |
*MATRIX exponential, *MATRIX decomposition, *FUNCTIONAL equations, *MARKOV processes, *GAUSSIAN processes |
| Abstrakti: |
We characterize all real matrix semigroups, indexed by the non-negative reals, which satisfy a mild boundedness assumption, without assuming continuity. Besides the continuous solutions of the semigroup functional equation, we give a description of solutions arising from non-measurable solutions of Cauchy's functional equation. To do so, we discuss the primary decomposition and the Jordan—Chevalley decomposition of a matrix semigroup. Our motivation stems from a characterization of all multi-dimensional self-similar Gaussian Markov processes, which is given in a companion paper. [ABSTRACT FROM AUTHOR] |
|
Copyright of Research in Mathematics is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Tietokanta: |
Academic Search Premier |
|
Kokotekstiä ei näytetä vieraille. |
Kirjaudu sisään päästäksesi kaikkeen aineistoon.
|