Closed operator functional calculus in Banach modules and applications
Author ORCID Identifier
Ilya Krishtal:https://orcid.org/0000-0001-7171-2177
Publication Title
Journal of Mathematical Analysis and Applications
ISSN
0022247X
E-ISSN
44180
Document Type
Article
Abstract
We describe a closed operator functional calculus in Banach modules over the group algebra L1(R) and illustrate its usefulness with a few applications. In particular, we deduce a spectral mapping theorem for operators in the functional calculus, which generalizes some of the known results. We also obtain an estimate for the spectrum of a perturbed differential operator in a certain class.
Publication Date
12-15-2020
DOI
10.1016/j.jmaa.2020.124473
Keywords
Asymptotic spectral analysis, Banach modules, Functional calculus, Spectral mapping theorem
Recommended Citation
Baskakov, Anatoly G.; Krishtal, Ilya A.; and Uskova, Natalia B., "Closed operator functional calculus in Banach modules and applications" (2020). NIU Bibliography. 494.
https://huskiecommons.lib.niu.edu/niubib/494
Department
Department of Mathematical Sciences
