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Operator ideal of Cesaro type sequence spaces involving lacunary sequence. (English) Zbl 07022357
Summary: The aim of this paper is to give the sufficient conditions on the sequence space \(\mathrm{Cs} (\theta, p)\) defined in [K.-P. Lim, Tamkang J. Math. 8, 213–220 (1977; Zbl 0405.46005)] such that the class of all bounded linear operators between any arbitrary Banach spaces with \(n\)th approximation numbers of the bounded linear operators in \(\mathrm{Cs} (\theta, p)\) form an operator ideal.

MSC:
46-XX Functional analysis
47-XX Operator theory
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