1-greedy renormings of Garling sequence spaces

  1. Albiac, F. 3
  2. Ansorena, J.L. 2
  3. Wallis, B. 1
  1. 1 Northern Illinois University
    info

    Northern Illinois University

    DeKalb, Estados Unidos

    ROR https://ror.org/012wxa772

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  3. 3 Universidad Pública de Navarra
    info

    Universidad Pública de Navarra

    Pamplona, España

    ROR https://ror.org/02z0cah89

Erakutsi afiliazioak +
Aldizkaria:
Journal of Approximation Theory

ISSN: 0021-9045

Argitalpen urtea: 2018

Alea: 230

Orrialdeak: 13-23

Mota: Artikulua

DOI: 10.1016/J.JAT.2018.03.002 SCOPUS: 2-s2.0-85044568572 GOOGLE SCHOLAR

Beste argitalpen batzuk: Journal of Approximation Theory

Laburpena

We show that all Garling sequence spaces admit a renorming with respect to which their standard unit vector basis is 1-greedy. We also discuss some additional properties of these Banach spaces related to uniform convexity and superreflexivity. In particular, our approach to the study of the superreflexivity of Garling sequence spaces provides an example of how essentially non-linear tools from greedy approximation can be used to shed light on the linear structure of these spaces. © 2018 Elsevier Inc.