Results 21 to 30 of about 597,731 (267)
Vector lattices with a Hausdorff uo-Lebesgue topology
, 2021 We investigate the construction of a Hausdorff uo-Lebesgue topology on a vector lattice from a Hausdorff (o)-Lebesgue topology on an order dense ideal, and what the properties of the topologies thus obtained are.
de Jeu, Marcel, Deng, Yang
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Ideal convergence and ideal Cauchy sequences in intuitionistic fuzzy metric spaces [PDF]
Mathematica Moravica, 2023 The present study introduces the concepts of ideal convergence (I-convergence), ideal Cauchy (I-Cauchy) sequences, I *-convergence, and I *-Cauchy sequences in intuitionistic fuzzy metric spaces.
Or Aykut, Karabacak Gökay
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On Intuitionistic Fuzzy Metric Space and Ideal Convergence of Triple Sequence Space [PDF]
Sahand Communications in Mathematical Analysis, 2023 The purpose of this article is to introduce the triple sequences and its convergence over instuitionistic fuzzy metric space (\textbf{IFMS}). The article also discusses ideal convergence of triple sequences, the uniqueness of ideal limits, the ...
Shailendra Pandit, Ayaz Ahmad, Ayhan Esi
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Ideal Convergence in Partial Metric Spaces
Soft Computing, 2022 Abstract The aim of this paper is to develop the summability literature by introducing the concept of Ip-convergence in a partial metric space (X, p). First, we give some properties of Ip-convergence. Also, we introduce the concept of Ip*-convergence in the partial metric space (X, p) and examine relations between newly defined concepts ...
Esra Gülle +2 more
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Ideal convergent subseries in Banach spaces [PDF]
Quaestiones Mathematicae, 2018 Assume that $\mathcal{I}$ is an ideal on $\mathbb{N}$, and $\sum_n x_n$ is a divergent series in a Banach space $X$. We study the Baire category, and the measure of the set $A(\mathcal{I}):=\left\{t \in \{0,1\}^{\mathbb{N}} \colon \sum_n t(n)x_n \textrm{ is } \mathcal{I}\textrm{-convergent}\right\}$.
Balcerzak, Marek +2 more
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Convergence in Trace Ideals [PDF]
Proceedings of the American Mathematical Society, 1981 We give an elementary proof of a theorem of Arazy which presents necessary and sufficient conditions on a symmetric sequence so that the associated symmetrically normed trace ideal has the property that if A n → A {A_n} \to A in the weak operator topology and
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Strong and uniform convergence in the teleportation simulation of bosonic Gaussian channels [PDF]
, 2018 In the literature on the continuous-variable bosonic teleportation protocol due to [Braunstein and Kimble, Phys. Rev. Lett., 80(4):869, 1998], it is often loosely stated that this protocol converges to a perfect teleportation of an input state in the ...
Wilde, Mark M.
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On Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence
Communications in Advanced Mathematical Sciences, 2023 In the study conducted here, we have given some new concepts in summability. In this sense, firstly, we have given the concept of lacunary $\mathcal{I}_2^{\ast}$-convergence and we have investigated the relations between lacunary $\mathcal{I}_2 ...
Nimet Pancaroğlu Akın, Erdinç Dündar
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Topology and its Applications, 2017 The authors use ideal convergence (\(\mathcal I\)-convergence), where \(\mathcal I\) is a \(D\)-admissible proper ideal on a directed set \(D\), to define \(\mathcal I\)-convergence classes. Several results in this context are obtained. In the main result of the paper (Theorem 4.3) it is shown how \(\mathcal I\)-convergence classes on a set \(X ...
Georgiou, D. N. +3 more
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On ideal convergence of double sequences in probabilistic normed spaces [PDF]
, 2011 The notion of ideal convergence is a generalization of statistical convergence wich has been intensively investigated in last few years. For an admisible ideal f in NxN, the aim of the present paper is to introduce the concepts of f-convergence and f ...
Kumar, Vijay +1 more
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