Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Pełczyński space is isomorphic to the Lipschitz free space over a compact set


Authors: Luis C. García-Lirola and Antonín Procházka
Journal: Proc. Amer. Math. Soc. 147 (2019), 3057-3060
MSC (2010): Primary 46B03; Secondary 46B28
DOI: https://doi.org/10.1090/proc/14446
Published electronically: March 15, 2019
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We prove the result stated in the title. This provides a first example of an infinite-dimensional Banach space whose Lipschitz free space is isomorphic to the free space of a compact set.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 46B03, 46B28

Retrieve articles in all journals with MSC (2010): 46B03, 46B28


Additional Information

Luis C. García-Lirola
Affiliation: Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242
Email: lgarcial@kent.edu

Antonín Procházka
Affiliation: Laboratoire de Mathématiques UMR 6623, Université Bourgogne Franche-Comté, 16 route de Gray, 25030 Besançon Cedex, France
Email: antonin.prochazka@univ-fcomte.fr

DOI: https://doi.org/10.1090/proc/14446
Keywords: Lipschitz free space, Pe{\l}czy\'nski space
Received by editor(s): August 17, 2018
Received by editor(s) in revised form: October 15, 2018, and October 17, 2018
Published electronically: March 15, 2019
Additional Notes: The first author was partially supported by the grants MINECO/FEDER MTM2017-83262-C2-2-P, Fundación Séneca CARM 19368/PI/14 and by a postdoctoral grant in the framework of Programa Regional de Talento Investigador y su Empleabilidad from Fundación Séneca - Agencia de Ciencia y Tecnología de la Región de Murcia.
The second author was supported by the French “Investissements d’Avenir” program, project ISITE-BFC (contract ANR-15-IDEX-03).
Communicated by: Stephen Dilworth
Article copyright: © Copyright Copyright 2019 by the authors