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Multiplication operators on Cesàro-Orlicz sequence spaces

Raj K., Sharma C., Pandoh S.

Fasciculi Mathematici

2016

Nr 57

137--145

In this paper, we characterize the compact, invertible, Fredholm and closed range multiplication operators on Cesàro-Orlicz sequence spaces.

Multiplication operators on Cesàro sequence spaces

Komal B. S., Pandoh S., Raj K.

Demonstratio Mathematica

2016

Vol. 49, nr 4

430--436

In this paper we characterize the compact, invertible and Fredholm multiplication operators on Cesàro sequence spaces.

On Cesàro sequence space defined by a modulus function

Bala I.

Demonstratio Mathematica

2013

Vol. 46, nr 1

157--163

The object of this paper is to introduce the sequence space ces(f, p) using a modulus function f. Various algebraic and topological properties of this space, and certain inclusion relations have been discussed which generalize several known results of Shiue [10], Sanhan and Suantai [9], and Leibowitz [2].

Opial's modulus in Köthe sequence spaces

Cui Y., Li Y., Płuciennik R.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

1999

[Z] 39

43-56

It is found a modified formula for Opial's modulus rX of order continuous Köthe sequence space X without Schur's property. By using this result, the Opial's modulus of Lebesgue sequence spaces as well as Cesaro sequence spaces can be computed easily. Moreover it is proved in the Köthe se-quence space X with the Fatou property the condition rX(1)>0 implies the order continuity of X.