PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Vector-valued Lorentz sequence spaces and their dual spaces

Volume 166 / 2021

Aldjia Attallah, Dahmane Achour Colloquium Mathematicum 166 (2021), 53-73 MSC: Primary 46A45; Secondary 46B10. DOI: 10.4064/cm8005-8-2020 Published online: 11 February 2021

Abstract

We introduce and investigate the Banach space of vector-valued strongly Lorentz sequences. We prove that this space is a topological dual of a class of weakly Lorentz sequences; moreover, we prove that also the class of weakly Lorentz sequences is a topological dual of a class of strongly Lorentz sequences. We apply these results to obtain a characterization of the bidual of Lorentz summing linear operators.

Authors

  • Aldjia AttallahLaboratory of Functional Analysis and Geometry of Spaces
    University of M’sila
    28000 M’sila, Algeria
    e-mail
  • Dahmane AchourLaboratory of Functional Analysis and Geometry of Spaces
    University of M’sila
    28000 M’sila, Algeria
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image