2018
DOI: 10.2298/fil1803767y
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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 ≤ ∞.

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Cited by 3 publications
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“…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].…”
Section: Introductionmentioning
confidence: 99%
“…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].…”
Section: Introductionmentioning
confidence: 99%