The Orlicz space of entire sequences

Abstract

Let Γ denote the space of all entire sequences and ∧ the space of all analytic sequences. This paper is devoted to the study of the general properties of Orlicz space ΓM of Γ

On Normed Space Valued Total Paranormed Orlicz Space of Null Sequences and its Topolpogical Structures

“…Clearly the space  M is closely related to the sequence space  p which is an Orlicz sequence space with M (x) = x p , 1  p < . Subsequently various types of topological structures in sequence spaces using Orlicz function have been introduced and studied, for instances we refer a few [2] , [3], [5], [8], [9] , [12], [13], [15], [16], [17], [18], [19] and [20].…”

On Certain Linear Structure of Orlicz Space c0 (M, (X, ||.||), ā, ᾱ) of Vector Valued Difference Sequence

“…The various topological and algebraic properties of sequence spaces with the help of Orlicz function have been introduced,studied and investigated as a generalization of various sequence spaces. For instances, we refer a few: Bhardwaj and Bala [19], Maddox [7], Ghosh and Srivastava [3], Kamthan and Gupta [15], Karakaya [18], Khan [17], Kolk [4], Parashar and Choudhary [16], Pahari [14], Rao and Subremanina [10], Savas and Patterson [5], Wilansky [1], Tripathy and Mahanta [2],Srivastava and Pahari [9],Basarir and Altundag [13],and Et et al [12].…”

On Locally Convex Topological Vector Space Valued Null Function Space c₀ Defined by Semi Norm and Orlicz Function

“…Subsequently, Kamthan and Gupta (1981), Rao and Ren (1991), Parashar and Choudhary (1994), Chen (1996), Ghosh and Srivastava (1999), Rao and Subremanina (2004), Savas and Patterson (2005), Bhardwaj and Bala (2007), Khan (2008), Basariv and Altundag (2009), Kolk (2011), Pahari (2013), Srivastava andPahari (2011 &2013) and many others have been introduced and studied the algebraic and topological properties of various sequence spaces using Orlicz function as a generalization of several well known sequence spaces.…”