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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Proyecciones (Antofagasta) vol.28 no.1 Antofagasta May 2009 

Proyecciones Journal of Mathematics
Vol. 28, No 1, pp.89—109, May 2009.
Universidad Católica del Norte
Antofagasta - Chile



New Mexico State University, U. S. A.

Correspondencia a:

In this paper we introduce an abstract gliding hump property for sequence spaces which includes the signed weak and strong gliding hump properties as special cases. Further examples of sequence spaces satisfying the abstract gliding hump property are given, We then derive results concerning uniform convergence in β-duals, Hahn-Schur theorems and Orlicz-Pettis theorems for multiplier convergent series whose multiplier space satisfies the abstract gliding hump property.

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Department of Mathematics
New Mexico State University
Las Cruces, NM 88003
U. S. A.
e-mail :

Received : December 2008. Accepted : March 2009

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