Essential positivity

Perälä, Antti; Virtanen, Jani

doi:10.1090/proc/16504

Essential positivity
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by Antti Perälä and Jani A. Virtanen;

Proc. Amer. Math. Soc. 151 (2023), 4807-4815

DOI: https://doi.org/10.1090/proc/16504

Published electronically: August 4, 2023

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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.

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Proceedings of the American Mathematical Society

Essential positivity
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Abstract: