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
[5] introduced the concepts of semi star generalized open sets and semi star generalized closed sets in a topological space. The same concept was extended to bitopological spaces by K. Chandrasekhara Rao and K. Kannan [6,7]. In this paper, we continue the study of τ 1 τ 2-s * g closed sets in bitopology and we introduced the newly related concept of pairwise s * g-continuous mappings. Also S * GO-connectedness and S * GO-compactness are introduced in bitopological spaces and some of their properties are established. Key Words: pairwise s * g-continuous functions, pairwise S * GO-connected, pairwise S * GO-compact space, τ 1 τ 2-s * g closed sets, pairwise gs-continuous functions. Contents 1 Introduction 29 2 Preliminaries 30 3 τ 1 τ 2-s * g closed sets 31 4 Pairwise s * g-continuous functions 32
This paper is a continuation of [1]. We begin with the notations for the sequence spaces considered in this paper. Let Γ be the space of sequences x = {xp} of complex numbers such that |xp|1/p⃗0 as p⃗∞. Γ can also be regarded as the space of integral functions f(z) = . The sequence space Γ is a vector space over the complex numbers with seminorms
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.