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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
Full Text:
##### References:
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