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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Reflexivity and nonweakly null maximizing sequences
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by Richard M. Aron, Domingo García, Daniel Pellegrino and Eduardo V. Teixeira
Proc. Amer. Math. Soc. 148 (2020), 741-750
DOI: https://doi.org/10.1090/proc/14728
Published electronically: August 7, 2019

Abstract:

We introduce and explore a new property related to reflexivity that plays an important role in the characterization of norm attaining operators. We also present an application to the theory of compact perturbations of linear operators and characterize norm attaining scalar-valued continuous $2$-homogeneous polynomials on $\ell _{2}$.
References
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Bibliographic Information
  • Richard M. Aron
  • Affiliation: Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242
  • MR Author ID: 27325
  • Email: aron@math.kent.edu
  • Domingo García
  • Affiliation: Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, 46100 Burjasot (Valencia), Spain
  • Email: domingo.garcia@uv.es
  • Daniel Pellegrino
  • Affiliation: Departamento de Matemática, UFPB, João Pessoa, PB, Brazil
  • Email: dmpellegrino@gmail.com
  • Eduardo V. Teixeira
  • Affiliation: Department of Mathematics, University of Central Florida, Orlando, Florida 32816
  • MR Author ID: 710372
  • Email: Eduardo.Teixeira@ucf.edu
  • Received by editor(s): February 25, 2019
  • Received by editor(s) in revised form: June 3, 2019
  • Published electronically: August 7, 2019
  • Additional Notes: The first and second authors were supported by MINECO and FEDER project MTM2017-83262-C2-1-P
    The second author was also supported by PROMETEO/2017/102 of the Generalitat Valenciana
    The third author was supported by CNPq-Grant 307327/2017-5
    The fourth author was supported by FUNCAP/CNPq/PRONEX Grant 00068.01.00/15
  • Communicated by: Stephen Dilworth
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 741-750
  • MSC (2010): Primary 46B20; Secondary 46B25, 46G25
  • DOI: https://doi.org/10.1090/proc/14728
  • MathSciNet review: 4052211