Affiliation:
1. University of Novi Sad, Faculty of Sciences, Novi Sad, Serbia
Abstract
This paper has aim to characterize Fredholmness and Weylness of upper
triangular operator matrices having arbitrary dimension n ? 2. We present
various characterization results in the setting of infinite dimensional
Hilbert spaces, thus extending some known results from Cao X. et al. (Acta
Math. Sin. (Engl. Ser.) 22 (2006), no. 1, 169-178 and J. Math. Anal. Appl.
304 (2005), no. 2, 759-771) and Zhang et al. (J. Math. Anal. Appl. 392
(2012), no. 2, 103-110) to the case of arbitrary dimension n ? 2. We pose
our results without using separability assumption, thus improving
perturbation results fromWu X. et al. (Ann. Funct. Anal. 11 (2020), no. 3,
780-798 and Acta Math. Sin. (Engl. Ser.) 36 (2020), no. 7, 783-796).
Publisher
National Library of Serbia
Reference15 articles.
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