On Cesàro summability of vector valued multiplier spaces and operator valued series

On some vector valued multiplier spaces with statistical Cesàro summability

“…Let i T i be a series in L(X, Y). The following spaces endowed with the sup norm have been studied in [5]:…”

“…In [2,3,5,17,23,27,28], there are important results that relate the case of a convergence method to classical properties of scalar and vector-valued multiplier spaces. However, in the case of the statistical Cesàro convergence, such spaces have not yet been introduced.…”

Orlicz–Pettis Theorem through Summability Methods

“…An early survey is Kalton's paper [7]. The reader can see in [8][9][10][11][12][13][14][15][16][17][18][19] recent results about the Orlicz-Pettis type Theorems.…”

A note on some topological properties of Köthe space λ(P)

“…Then, the space (λ(P ), τ P ) is called the Fréchet space of rapidly decreasing sequences, and denoted by s [15]. Also, one can find topological properties of the sequence spaces in the recent papers [1,2] and of a Köthe space in [16,19].…”