International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 65-68, Pages 3755-3764
doi:10.1155/S0161171204311385

The Orlicz space of entire sequences

K. Chandrasekhara Rao1 and N. Subramanian2

1Srinivasa Ramanujan Centre, Shanmugha Arts, Science, Technology, and Research Academy (SASTRA), Kumbakonam 612 001, India
2Deptartment of Mathematics, Shanmugha Arts, Science, Technology, and Research Academy (SASTRA), Thanjavur 613 402, India

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.