Trotter–Kato Product Formulae in Dixmier Ideal

Valentin A. Zagrebnov ()
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Valentin A. Zagrebnov: Institut de Mathématiques de Marseille (UMR 7373) - AMU, Centre de Mathématiques et Informatique - Technopôle Château-Gombert

A chapter in Analysis and Operator Theory, 2019, pp 395-416 from Springer

Abstract: Abstract It is shown that for a certain class of the Kato functions, the Trotter–Kato product formulae converge in Dixmier ideal $$\mathscr {C}_{1, {\infty }}$$ C 1 , ∞ in topology, which is defined by the $$\Vert \cdot \Vert _{1, \infty }$$ ‖ · ‖ 1 , ∞ -norm. Moreover, the rate of convergence in this topology inherits the error-bound estimate for the corresponding operator-norm convergence.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-12661-2_18

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DOI: 10.1007/978-3-030-12661-2_18

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