Joint spectrum and a spectral inclusion theorem for tensor product of semigroups on locally convex spaces


Rachid Ameziane Hassani, Aziz Blali, Abdelkhalek El Amrani, Mouad El Beldi




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.