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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Block diagonal polynomials


Authors: Verónica Dimant and Raquel Gonzalo
Journal: Trans. Amer. Math. Soc. 353 (2001), 733-747
MSC (2000): Primary 46G20; Secondary 46Bxx
Published electronically: October 13, 2000
MathSciNet review: 1804515
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Abstract:

In this paper we introduce and study a certain class of polynomials in spaces with unconditional finite dimensional decomposition. Some applications to the existence of copies of $\ell _\infty $ in spaces of polynomials and to the stabilization of polynomial algebras are given.


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Additional Information

Verónica Dimant
Affiliation: Departamento de Economía y Matemática, Universidad de San Andrés, Vito Dumas 284 (1644) Victoria, Prov. de Buenos Aires, Argentina
Email: vero@udesa.edu.ar

Raquel Gonzalo
Affiliation: Departamento de Análisis Matemático, Facultad de Ciencias Matemáticas, Universidad Complutense, 28040 Madrid, Spain
Address at time of publication: Departamento de Matemática Aplicada, Facultad de Informática, Universidad Politécnica, Campus de Montegancedo, 28660 Boadilla del Monte, Madrid, Spain
Email: rngonzalo@fi.upm.es

DOI: http://dx.doi.org/10.1090/S0002-9947-00-02735-5
PII: S 0002-9947(00)02735-5
Keywords: Polynomials, weak sequential continuity, containment of $\ell_\infty$
Received by editor(s): July 24, 1998
Received by editor(s) in revised form: July 22, 1999
Published electronically: October 13, 2000
Additional Notes: The first author was partially supported by Instituto de Cooperación Iberoamericano, and the second author was partially supported by PGCYT PB-96-0607
Article copyright: © Copyright 2000 American Mathematical Society