Functions of perturbed commuting dissipative operators [r-libre/3293]

Morneau-Guérin, Frédéric (2024). Functions of perturbed commuting dissipative operators [review of the book from Aleksandrov, Aleksei B., & Peller, Vladimir V.]. zbMATH Open.

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Item Type:	Book Reviews
Refereed:	Yes
Status:	Published
Abstract:	The purpose of the paper is to study the behaviour of functions f(L,M) of commuting maximal dissipative operators L and M under perturbation. In particular, given commuting paris (L_1, L_2) and (M_1, M_2) of maximal dissipative operators, the conditions on fonctions f under which the following Lipschitz type inequality holds are studied : $$ \big\\| f(L_1,M_1) - f(L_2, M_2)\big\\| ~\leq~ \text{const} \cdot \max \big\{\\|L_2- L_1\\|, \\|M_2 -M_1\\|\big\}.$$
Additional Information:	© FIZ Karlsruhe GmbH 2024. ALL RIGHTS RESERVED.
Official URL:	https://zbmath.org/7747285
Depositor:	Morneau-Guérin, Frédéric
Owner / Manager:	Frédéric Morneau-Guérin
Deposited:	06 Jun 2024 13:08
Last Modified:	06 Jan 2025 15:05

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