Quite recently, Khan et al.(A study of Nörlund Ideal Convergent sequence spaces, 2021)
defined new sequence spaces that is Nörlund ideal convergent sequence spaces. Inspired …

For a free filter F on ω, let NF= ω∪{p F}, where p F∉ ω, be equipped with the following
topology: every element of ω is isolated whereas all open neighborhoods of p F are of the …

Abstract Let I ⊆ P (ω) I⊆ P (ω) be a meager ideal. Then there are no continuous projections
from ℓ _ ∞ ℓ∞ onto the set of bounded sequences which are I I-convergent to 0. In …

The paper consists of two parts. In the first part (Sections 3–7) we examine various kinds of
(non) pathological submeasures that are considered in the literature, whereas the second …

Let I, J be two ideals on N which contain the family Fin of finite sets. We provide necessary
and sufficient conditions on the entries of an infinite real matrix A=(an, k) which maps I …

The study of sequence spaces and summability theory has been an important aspect in
defining new notions of convergence for the sequences that do not converge in the usual …

arxiv:2407.02618v1 [math.FA] 2 Jul 2024 Page 1 arxiv:2407.02618v1 [math.FA] 2 Jul 2024
FUNCTIONS OF BOUNDED VARIATION FROM IDEAL PERSPECTIVE JACEK GULGOWSKI …

Let-convergent (and bounded). This allows us to establish the relationship between the
classical Silverman–Toeplitz characterization of regular matrices and its multidimensional …

Riesz I-convergent sequence spaces Page 1 Riesz I-convergent sequence spaces Vakeel A.
Khan Aligarh Muslim University, India and Zahid Rahman Aligarh Muslim University, India …

On some properties of Nörlund ideal convergence of sequence in neutrosophic normed spaces
Page 1 ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS – N. 50–2023 (352–373) …