Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Solution to a problem of Diestel
HTML articles powered by AMS MathViewer

by R. M. Causey, E. M. Galego and C. Samuel PDF
Proc. Amer. Math. Soc. 148 (2020), 5261-5267 Request permission

Abstract:

In the present paper, we prove that the $3$-fold projective tensor product $c_{0} \widehat {\otimes }_\pi c_{0}\widehat {\otimes }_\pi c_{0}$ of $c_0$ is not isomorphic to any subspace of $c_{0} \widehat {\otimes }_\pi c_{0}$. In particular, this settles the long-standing open problem, originally raised by Joe Diestel in a private communication, of whether $c_{0} \widehat {\otimes }_\pi c_{0}$ is isomorphic to $c_{0} \widehat {\otimes }_\pi c_{0}\widehat {\otimes }_\pi c_{0}$.
References
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
  • R. M. Causey
  • Affiliation: Department of Mathematics, Miami University, Oxford, Ohio 45056
  • MR Author ID: 923618
  • Email: causeyrm@miamioh.edu
  • E. M. Galego
  • Affiliation: Department of Mathematics, IME, University of São Paulo, Rua do Matão 1010, São Paulo, Brazil
  • MR Author ID: 647154
  • Email: eloi@ime.usp.br
  • C. Samuel
  • Affiliation: Aix Marseille Université, CNRS, Centrale Marseille, I2M, Marseille, France
  • MR Author ID: 153910
  • ORCID: 0000-0001-8607-7719
  • Email: christian.samuel@univ-amu.fr
  • Received by editor(s): February 17, 2020
  • Received by editor(s) in revised form: May 17, 2020, and May 18, 2020
  • Published electronically: September 11, 2020

  • Dedicated: Dedicated to the memory of Professor Joe Diestel
  • Communicated by: Stephen Dilworth
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 5261-5267
  • MSC (2010): Primary 46B03; Secondary 46B28
  • DOI: https://doi.org/10.1090/proc/15188
  • MathSciNet review: 4163838