Small pre-quasi banach operator ideals of type orlicz-cesáro mean sequence spaces
Bakery, Awad A.; Mohammed, Mustafa M.; Acar, Tuncer;
Abstract
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
Other data
Title | Small pre-quasi banach operator ideals of type orlicz-cesáro mean sequence spaces | Authors | Bakery, Awad A. ; Mohammed, Mustafa M.; Acar, Tuncer | Issue Date | 1-Jan-2019 | Journal | Journal of Function Spaces | ISSN | 23148896 | DOI | 10.1155/2019/7265010 | Scopus ID | 2-s2.0-85066078227 |
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