Proyecciones Journal of Mathematics Vol. 31, N^o 2, pp. 103-123, June 2012. Universidad Católica del Norte Antofagasta - Chile

 

Polar topologies on sequence spaces in non-archimedean analysis

 

R. Ameziane Hassani*, A. El Amrani*, M. Babahmed**

* Universite Sidi Mohamed Ben Abdellah, Morocco

** Universite Moulay Ismail, Morocco

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ABSTRACT

The purpose of the present paper is to develop a theory of a duality in sequence spaces over a non-archimedean vector space. We introduce polar topologies in such spaces, and we give basic results characterizing compact, C-compact, complete and AK —complete subsets related to these topologies.

Keywords : Locally K-convex topologies, non archimedean sequence spaces, Schauder basis, separated duality.

MSC2010 : 11F85 - 46A03 - 46A20 - 46A22 - 46A35 - 46A45 -464A50.

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REFERENCES

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[3] A. El amrani, R. Ameziane Hassani and M. Babahmed, Topologies on sequence spaces in non-archimedean analysis, J. of Mathematical Sciences: Advances and Applications Vol. 6, Num. 2, pp.193-214, (2010).

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Received : May 2011. Accepted : January 2012

R. Ameziane Hassani

Departement de Mathematiques

Faculte des Sciences

Dhar El Mehraz

Universite Sidi Mohamed Ben Abdellah

B. P. 1796 FES - MAROC

e-mail : ramezianehassani@hotmail.com

 

A. El Amrani

Departement de Mathematiques

Faculte des Sciences Dhar El Mehraz

Universite Sidi Mohamed Ben Abdellah

B. P. 1796, FES - MAROC

e-mail : ramezianehassani@hotmail.com

 

M. Babahmed

Departement de Mathematiques

Faculte des Sciences de Meknes

Universite Moulay Ismail

B. P. 11201 Zitoune

MEKNES - MAROC

e-mail : babahmed@fs-umi.ac.ma