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Trotter–Kato product formula in symmetric F-normed ideals

Volume 266 / 2022

Meiram Akhymbek, Galina Levitina Studia Mathematica 266 (2022), 167-191 MSC: Primary 47D03; Secondary 47L20, 47B25. DOI: 10.4064/sm210708-4-11 Published online: 20 May 2022

Abstract

We prove the Trotter–Kato product formula for arbitrary symmetric F-normed ideals which are closed with respect to logarithmic submajorization. This class of ideals include all symmetric quasi-Banach ideals.

Authors

  • Meiram AkhymbekSchool of Mathematics and Statistics
    University of New South Wales
    Kensington, 2052, NSW, Australia
    and
    Institute of Mathematics and Mathematical Modeling
    050010, Almaty, Kazakhstan
    e-mail
  • Galina LevitinaMathematical Sciences Institute
    The Australian National University
    Canberra, 2600, ACT, Australia
    e-mail

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