Essential positivity

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Perälä, A. and Virtanen, J. (2023) Essential positivity. Proceedings of the American Mathematical Society, 151 (11). pp. 4807-4815. ISSN 0002-9939 doi: 10.1090/proc/16504

Abstract/Summary

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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Item Type Article
URI https://reading-clone.eprints-hosting.org/id/eprint/111445
Identification Number/DOI 10.1090/proc/16504
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher American Mathematical Society
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