A study on certain Köthe spaces

Abstract

Let A = (a nk) be a Köthe matrix. In this paper, we introduce the space λ bs (A) and we emphasize on some topological properties of the spaces c 0 (A), λ bs (A) and λ p (A) together with some inclusion relations, where 1 ≤ p ≤ ∞.

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].…”