Results 41 to 50 of about 600,818 (315)

On Intuitionistic Fuzzy Metric Space and Ideal Convergence of Triple Sequence Space [PDF]

open access: yesSahand 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
doaj   +1 more source

Ideal Convergence in Partial Metric Spaces

open access: yesSoft 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
openaire   +3 more sources

Strong and uniform convergence in the teleportation simulation of bosonic Gaussian channels [PDF]

open access: yes, 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.
core   +3 more sources

Ideal convergent subseries in Banach spaces [PDF]

open access: yesQuaestiones 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
openaire   +3 more sources

Convergence in Trace Ideals [PDF]

open access: yesProceedings 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
openaire   +1 more source

On Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence

open access: yesCommunications 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
doaj   +1 more source

Ideal-convergence classes

open access: yesTopology 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
openaire   +1 more source

Ideals, Nonnegative Summability Matrices and Corresponding Convergence Notions: A Short Survey of Recent Advancements

open access: yesAxioms, 2021
In this survey article, we look into some recent results concerning summability matrices, both regular as well as those which are not regular (called semi-regular) and generated matrix ideals as the overall view of the inter relationship between the ...
Pratulananda Das
doaj   +1 more source

$\mathcal{I}$-convergence in Fuzzy Cone Normed Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2021
The aim of this paper is to define and study the concept of $\mathcal{I}$-convergence in fuzzy cone normed space which is a generalization of R. Saadati and S. M. Vaezpour type fuzzy normal space.
Aysegul Caksu Guler
doaj   +1 more source

Feedback generation of quantum Fock states by discrete QND measures [PDF]

open access: yes, 2009
A feedback scheme for preparation of photon number states in a microwave cavity is proposed. Quantum Non Demolition (QND) measurement of the cavity field provides information on its actual state.
Dotsenko, Igor   +2 more
core   +2 more sources

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