ORCID: https://orcid.org/0000-0001-7973-4688 and Pushnitski, Alexander
(2019):
Kato smoothness and functions of perturbed self-adjoint operators.
In: Advances in Mathematics, Vol. 351: pp. 343-387
Abstract
We consider the difference f(H-1) - f(H-0) for self-adjoint operators H-0 and H-1 acting in a Hilbert space. We establish a new class of estimates for the operator norm and the Schatten class norms of this difference. Our estimates utilise ideas of scattering theory and involve conditions on H-0 and H-1 in terms of the Kato smoothness. They allow for a much wider class of functions f (including some unbounded ones) than previously available results. As an important technical tool, we propose a new notion of Schatten class valued smoothness and develop a new framework for double operator integrals. (C) 2019 Elsevier Inc. All rights reserved.
Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics > Analysis, Mathematical Physics and Numerics |
Subjects: | 500 Science > 510 Mathematics |
ISSN: | 0001-8708 |
Language: | English |
Item ID: | 82415 |
Date Deposited: | 15. Dec 2021, 15:01 |
Last Modified: | 13. Aug 2024, 12:44 |