Year: 2023
Type: article
Abstract: We define essentially positive operators on Hilbert space as a class of self-adjoint operators whose essential spectra is contained in the non-negative real numbers and describe their basic properties. Using Toeplitz operators and the Berezin transform, we further illustrate the notion of essential positivity in the Hardy space and the Bergman space.
DOI: 10.1090/proc/16504
Authors: Antti Perälä, Jani Virtanen
Institutions: Umeå University, University of Helsinki, University of Reading
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4366404196