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

Erdoğan, Ezgi and Karakaya, Vatan



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.

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Erdoğan, Ezgi, Karakaya, Vatan