|| A Banach space operator satisfies property (Bw) if the complement of its B-Weyl spectrum in its the spectrum is the set of finite multiplicity isolated eigenvalues of the operator. Property (Bw) does not transfer from operators T and S to their tensor product T ⊗ S. We give necessary and /or sufficient conditions ensuring the passage of property (Bw) from T and S to T ⊗ S. Perturbations by Riesz operators are considered.
|| property (Bw)
|| Mathematical Journal of Okayama University
|| Department of Mathematics, Faculty of Science, Okayama University
|| Journal Article
|| Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University