Some topological and geometric properties of a new BK-space derived by using regular matrix of Fibonacci numbers

Abstract

In the present paper, we introduce the sequence space using a new regular matrix of Fibonacci numbers, where . We investigate its topological properties such as Schauder basis, and duals and its geometric properties like uniformly convex, strictly convex and super-reflexive. We also characterize some matrix classes from the space to classical sequence spaces.

Keywords:

• Matrix transformations in sequence spaces
• alpha-
• beta-and gamma- duals
• geometric properties

AMS Subject Classifications:

• 11B39
• 46B45
• 46A45

Acknowledgements

The authors would like to thank the reviewers for his/her careful reading and making some useful comments which improved the presentation of the paper.

Notes

No potential conflict of interest was reported by the authors.