ON A NEW CLASS OF s-TYPE OPERATORS

Abstract

In this paper, we introduce a new class of operators by using s-numbers and the sequence space Z(u; v; `p) for 1 < p < 1. We prove that this class is a quasi-Banach operator ideal. Also, we give some properties of the quasi-Banach operator ideal. Lastly, we establish some inclusion relations among the operator ideals formed by di erent s-number sequences.

Keywords

• Operator ideals,s-numbers,quasi-norm,sequence spaces

References

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