A DIFFERENT LOOK FOR PARANORMED RIESZ SEQUENCE SPACE DERIVED BY FIBONACCI MATRIX

Abstract

This paper presents the generalized Riesz sequence space rq( b Fp u ) which is formed all sequences whose Rqu b F-transforms are in the space `(p), where b F is a Fibonacci matrix. - - and -duals of the newly described sequence space have been given in addition to some topological properties of its. Also, it has been established the basis of rq( b Fp u ). Finally, we have been described a matrix class on the sequence space. Results obtained are more general and more comprehensive than presented up to now.

Keywords

• Paranormed sequence space,Fibonacci numbers,alpha-,beta- and gamma-duals and matrix mappings

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