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Exponentials of bounded normal operators

Volume 133 / 2013

Aicha Chaban, Mohammed Hichem Mortad Colloquium Mathematicum 133 (2013), 237-244 MSC: Primary 47A10, 47A60. DOI: 10.4064/cm133-2-10

Abstract

The present paper is mainly concerned with equations involving exponentials of bounded normal operators. Conditions implying commutativity of normal operators are given, without using the known $2\pi i$-congruence-free hypothesis. This is a continuation of a recent work by the second author.

Authors

  • Aicha ChabanDepartment of Mathematics
    University of Chlef (Hassiba Benbouali)
    BP 151, Chlef, 20000, Algeria
    e-mail
  • Mohammed Hichem MortadDepartment of Mathematics
    University of Oran
    BP 1524, El Menouar, Oran 31000, Algeria
    and
    BP 7085 Seddikia, Oran 31013, Algeria
    e-mail
    e-mail

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