Some Matrix Transformations on Sequence Spaces of Invariant Means

Authors : - -, - MURSALEEN

Pages : 259-264

View : 16 | Download : 8

Publication Date : 2009-03-01

Article Type : Research Paper

Abstract :In this paper we define new sequence spaces Vσinsert ignore into journalissuearticles values(θ); and V ∞σ insert ignore into journalissuearticles values(θ); which are related to the concept of σ-mean and lacunary sequence θ = insert ignore into journalissuearticles values(kr);, and characterize the matrix classes insert ignore into journalissuearticles values(l1, V ∞σ insert ignore into journalissuearticles values(θ);); and insert ignore into journalissuearticles values(l∞, V ∞σ insert ignore into journalissuearticles values(θ););.
Keywords : Lacunary sequence, Matrix transformation, Invariant mean, Almost lacunary convergence, 2000 AMS Classification 40 C 05