scholarly journals A note on Cesàro–Orlicz sequence spaces

2009 ◽  
Vol 349 (1) ◽  
pp. 291-296 ◽  
Author(s):  
Damian Kubiak
2021 ◽  
pp. 1-14
Author(s):  
Siyu Shi ◽  
Zhongrui Shi ◽  
Shujun Wu

2008 ◽  
Vol 345 (1) ◽  
pp. 410-419 ◽  
Author(s):  
Paweł Foralewski ◽  
Henryk Hudzik ◽  
Alicja Szymaszkiewicz

1994 ◽  
Vol 59 (3) ◽  
pp. 239-249 ◽  
Author(s):  
Shutao Chen ◽  
Huiying Sun

1991 ◽  
Vol 101 (2) ◽  
pp. 71-86 ◽  
Author(s):  
Manfred Denker ◽  
Henryk Hudzik

2013 ◽  
Vol 31 (2) ◽  
pp. 55 ◽  
Author(s):  
Cigdem Asma Bektas ◽  
Gülcan Atıci

Lindenstrauss and Tzafriri [7] used the idea of Orlicz function to define the sequence space ℓM which is called an Orlicz sequence space. Another generalization of Orlicz sequence spaces is due to Woo [9]. An important subspace of ℓ (M), which is an AK-space, is the space h (M) . We define the sequence spaces ℓM (m) and ℓ N(m), where M = (Mk) and N = (Nk) are sequences of Orlicz functions such that Mk and Nk be mutually  complementary for each k. We also examine some topological properties of these spaces. We give the α−, β− and γ− duals of the sequence space h (M) and α− duals of the squence spaces ℓ (M, λ) and ℓ (N, λ).


2000 ◽  
Vol 176 (2) ◽  
pp. 264-279 ◽  
Author(s):  
Lech Maligranda ◽  
Mieczysław Mastyło

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