A+ CATEGORY SCIENTIFIC UNIT

On the Kleinecke–Shirokov Theorem for families of derivations

Volume 149 / 2002

Victor S. Shulman, Yuriĭ V. Turovskii Studia Mathematica 149 (2002), 185-190 MSC: Primary 47B47. DOI: 10.4064/sm149-2-7

Abstract

It is proved that Riesz elements in the intersection of the kernel and the closure of the image of a family of derivations on a Banach algebra are quasinilpotent. Some related results are obtained.

Authors

  • Victor S. ShulmanDepartament of Mathematics
    Vologda State Technical University
    15 Lenin Str.
    160008 Vologda, Russia
    e-mail
  • Yuriĭ V. TurovskiiInstitute of Mathematics and Mechanics
    9 F. Agaev Str.
    370141 Baku, Azerbaijan
    e-mail

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