2-Rotund norms for unconditional and symmetric sequence spaces
A reflexive Banach space with an unconditional basis admits an equivalent 1-unconditional 2<i>R</i> norm and embeds into a reflexive space with a 1-symmetric 2<i>R</i> norm. Partial results on 1-symmetric 2<i>R</i> renormings of spaces with a symmetric basis are obtained.
Authors
- Denka Kutzarova (ORCID: https://orcid.org/0000-0001-7761-7867)
- Pavlos Motakis (ORCID: https://orcid.org/0000-0002-4395-3931)
- S. J. Dilworth (ORCID: https://orcid.org/0000-0002-3317-853X)
Institutions
- University of South Carolina (US)
- University of Illinois Urbana-Champaign (US)
- York University (CA)
- Bulgarian Academy of Sciences (BG)
- Institute of Mathematics and Informatics (BG)
Publication Details
- Journal
- Banach Journal of Mathematical Analysis
- Published
- 2024-09-14
- DOI
- https://doi.org/10.1007/s43037-024-00379-1
- Primary Topic
- Advanced Banach Space Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Simons Foundation
- University of South Carolina
- Natural Sciences and Engineering Research Council of Canada