Essential positivityPerälä, A. and Virtanen, J. (2023) Essential positivity. Proceedings of the American Mathematical Society, 151 (11). pp. 4807-4815. ISSN 0002-9939
It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1090/proc/16504 Abstract/SummaryWe 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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