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Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
July 3, 2025 11:00, Moscow, Steklov Mathematical Institute of RAS, Room 430 (8 Gubkina)


Оптимальные оценки скорости операторной сходимости в формулах произведения Троттера-Като

V. A. Zagrebnov

Institut de Mathématiques de Marseille


References
  1. H. F. Trotter, “On the products of semigroups of operators”, Proc. Am. Math. Soc., 10 (1959), 545–551
  2. T. Kato, “Trotter’s Product Formula for an Arbitrary Pair of Self-Adjoint Contraction Semigroups”, Topics in Funct. Anal., Adv. Math. Suppl. Studies, v. 3, eds. I. Gohberg, M. Kac, Academic Press, New York, 1978, 185–195
  3. Dzh.L. Rogava, “Error bounds for Trotter-type formulas for self-adjoint operators”, Funktsional. Anal. i Prilozhen, 27:3 (1993), 84–86, in Russian [Funct. Anal. Appl., 27 (1993), 217–219]
  4. T. Ichinose, Hideo Tamura, Hiroshi Tamura and V.A. Zagrebnov, “Note on the paper “The norm convergence of the Trotter-Kato product formula with error bound” by Ichinose and Tamura”, Commun. Math. Phys., 221 (2001), 499–510
  5. Valentin A. Zagrebnov, Hagen Neidhardt, Takashi Ichinose, Trotter-Kato Product Formulæ, Springer-Birkhäuser, 2024, XX, 873 pp. https://link.springer.com/book/10.1007/978-3-031-56720-9


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