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

Authors : Murat CANDAN, Gülsen KILINÇ

Pages : 62-76

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Publication Date : 2015-10-01

Article Type : Research Paper

Abstract :This paper presents the generalized Riesz sequence space rqinsert ignore into journalissuearticles values( b Fp u ); which is formed all sequences whose Rqu b F-transforms are in the space `insert ignore into journalissuearticles values(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 rqinsert ignore into journalissuearticles values( 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