Proceedings of the American Mathematical Society

Author(s): F. Albiac; C. Leránoz
Journal: Proc. Amer. Math. Soc. 136 (2008), 1643-1647.
MSC (2000): Primary 46A16, 46A35; Secondary 46A40, 46A45
Posted: January 3, 2008
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Abstract: We show that the Lorentz sequence spaces $d(\omega,p)$ with

and $\inf\frac{\omega_1+\cdots+\omega_n}{n^p}>0$ have unique unconditional basis. This completely settles the question of uniqueness of unconditional basis in Lorentz sequence spaces, and solves a problem raised by Popa in 1981 and Nawrocki and Ortyński in 1985.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46A16, 46A35, 46A40, 46A45

F. Albiac
Affiliation: Departamento de Matemática e Informática, Universidad Pública de Navarra, Pamplona 31006, Spain
Email: fernando.albiac@unavarra.es

C. Leránoz
Affiliation: Departamento de Matemática e Informática, Universidad Pública de Navarra, Pamplona 31006, Spain
Email: camino@unavarra.es

DOI: 10.1090/S0002-9939-08-09222-8
PII: S 0002-9939(08)09222-8
Received by editor(s): October 23, 2006
Posted: January 3, 2008
Communicated by: N. Tomczak-Jaegermann
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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