Mathematical Journal of Okayama University 61巻 1号
2019-01 発行

Cesaro Orlicz sequence spaces and their Kothe-Toeplitz duals

Raj, Kuldip School of Mathematics Shri Mata Vaishno Devi University
Anand, Renu School of Mathematics Shri Mata Vaishno Devi University
Pandoh, Suruchi School of Mathematics Shri Mata Vaishno Devi University
Publication Date
2019-01
Abstract
The present paper focus on introducing certain classes of Cesàro Orlicz sequences over n-normed spaces. We study some topological and algebraic properties of these spaces. Further, we examine relevant relations among the classes of these sequences. We show that these spaces are made n-BK-spaces under certain conditions. Finally, we compute the Köthe-Toeplitz duals of these spaces.
Keywords
Orlicz function
Musielak-Orlicz function
n-normed spaces
difference sequence spaces
Köthe-Toeplitz dual
Comments
Mathematics Subject Classification. Primary 40A05, 46A20; Secondary 46D05, 46A45, 46E30.