On some local spectral theory and bounded local resolvent of operator matrices
Abdelaziz Tajmouati, Abdeslam El Bakkali, Mohammed Karmouni
Received April 22, 2016. First published May 30, 2017.
Abstract: We extend and generalize some results in local spectral theory for upper triangular operator matrices to upper triangular operator matrices with unbounded entries. Furthermore, we investigate the boundedness of the local resolvent function for operator matrices.
Keywords: local resolvent function; single-valued extension property; operator matrix
Affiliations: Abdelaziz Tajmouati, Mohammed Karmouni, Laboratory of Mathematical Analysis and Applications, Faculty of Sciences Dhar Al Mahraz, Sidi Mohamed Ben Abdellah University, B. P. 1796 Fèz-Atlas, 30003 Morocco, e-mail: firstname.lastname@example.org, email@example.com; Abdeslam El Bakkali, Department of Mathematics, Faculty of Sciences, University Chouaib Doukkali, Route Ben Maachou, Eljadida, 24000, Eljadida, Morocco, e-mail: firstname.lastname@example.org