Scopus
🔓 Açık Erişim
Small pre-quasi banach operator ideals of type orlicz-cesáro mean sequence spaces
Journal of Function Spaces · Ocak 2019
Makale Bilgileri
DergiJournal of Function Spaces
Yayın TarihiOcak 2019
Cilt / Sayfa2019
Scopus ID2-s2.0-85066078227
Erişim🔓 Açık Erişim
Özet
In this paper, we give the sufficient conditions on Orlicz-Cesáro mean sequence spaces cesφ, where φ is an Orlicz function such that the class Scesφ of all bounded linear operators between arbitrary Banach spaces with its sequence of s-numbers which belong to cesφ forms an operator ideal. The completeness and denseness of its ideal components are specified and Scesφ constructs a pre-quasi Banach operator ideal. Some inclusion relations between the pre-quasi operator ideals and the inclusion relations for their duals are explained. Moreover, we have presented the sufficient conditions on cesφ such that the pre-quasi Banach operator ideal generated by approximation number is small. The above results coincide with that known for cesp (1<p<∞).
Yazarlar (3)
1
Awad A. Bakery
ORCID: 0000-0001-6709-8012
2
Mustafa M. Mohammed
ORCID: 0000-0002-3768-2637
3
Tuncer Acar
Kurumlar
College of Science
Cairo Egypt
Sudan University of Science and Technology
Khartoum Sudan
University of Jeddah
Jeddah Saudi Arabia
Metrikler
8
Atıf
3
Yazar