Closed operator functional calculus in Banach modules and applications
Functional Analysis
2021-09-06 v1
Abstract
We describe a closed operator functional calculus in Banach modules over the group algebra 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.
Cite
@article{arxiv.2007.15530,
title = {Closed operator functional calculus in Banach modules and applications},
author = {Anatoly G. Baskakov and Ilya A. Krishtal and Natalia B. Uskova},
journal= {arXiv preprint arXiv:2007.15530},
year = {2021}
}