Operator ideal of s-type operators using weighted mean sequence space


Erdoğan, Ezgi and Karakaya, Vatan


Abstract

carpathian_2017_33_3_311_318_abstract

We introduce a different class of s-type operators by using the generalized weighted mean sequence space {c_{0}}\left( u,v\right), then it is shown that this new class of operators is a quasi-Banach operator ideal. Moreover, their injectivity and surjectivity are investigated according to sort of s-number. Finally, we proof that it is a closed operator ideal under some conditions.

Additional Information

Author(s)

Erdoğan, Ezgi, Karakaya, Vatan