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Essential positivity.

Authors :
Perälä, Antti
Virtanen, Jani A.
Source :
Proceedings of the American Mathematical Society; Nov2023, Vol. 151 Issue 11, p4807-4815, 9p
Publication Year :
2023

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
151
Issue :
11
Database :
Complementary Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
171104324
Full Text :
https://doi.org/10.1090/proc/16504