Joint spectrum and a spectral inclusion theorem for tensor product of semigroups on locally convex spaces
Novi Sad Journal of Mathematics, Tome 54 (2024) no. 1.

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In the following paper, we deal with a specific type of joint spectrum, which is the bicommutant joint spectrum. The obtained results are used to establish a relation between the spectrum of the tensor product of semigroups on locally convex spaces and the Cartesian product of its components' spectrums. In addition, a spectral inclusion theorem for the tensor product of semigroups is given.
Publié le :
DOI : 10.30755/NSJOM.14508
Classification : 47A10, 47D03, 47D99, 47A80
Keywords: Joint spectrum, semigroups, tensor product, locally convex spaces, universally bounded operators
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     title = {Joint spectrum and a spectral 
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Rachid Ameziane Hassani; Aziz Blali; Abdelkhalek El Amrani; Mouad El Beldi. Joint spectrum and a spectral 
	inclusion theorem for tensor product of semigroups on locally convex spaces. Novi Sad Journal of Mathematics, Tome 54 (2024) no. 1. doi : 10.30755/NSJOM.14508. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.14508/

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