Titlebook: Analysis and Operator Theory; Dedicated in Memory Themistocles M. Rassias,Valentin A. Zagrebnov Book 2019 Springer Nature Switzerland AG 2

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The Factor Type of Conservative KMS-Weights on Graph ,-Algebras,We determine the factor generated by the GNS-representation defined by a KMS-weight for a generalized gauge action on a simple graph .-algebra, when the corresponding measure on the path space of the graph is conservative for the shift.

deriver

,Trotter–Kato Product Formulae in Dixmier Ideal,It is shown that for a certain class of the Kato functions, the Trotter–Kato product formulae converge in Dixmier ideal . in topology, which is defined by the .-norm. Moreover, the rate of convergence in this topology inherits the error-bound estimate for the corresponding operator-norm convergence.

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TOM

,The Howland–Kato Commutator Problem,rk of James Howland and was pursued by Tosio Kato who suggested what might be the answer. So far, there is no proof that Kato was correct but in this paper we discuss the problem and give some partial answers to the above question.

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Themistocles M. Rassias,Valentin A. ZagrebnovPresents methods, theories and problems in mathematics and mathematical physics.Broadens understanding of interdisciplinary research in analysis and operator theory.Highlights Tosio Kato‘s impact to a

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