SPARQ: Efficient Entanglement Distribution and Routing in Space–Air–Ground Quantum Networks by Mohamed Shaban, Muhammad Ismail, Walid Saad

“…In this article, a space–air–ground quantum (SPARQ) network is developed as a means for providing a seamless on-demand entanglement distribution. …”
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Recognition of Finite Bitopological Spaces with Unique Isolated Point by Devi Selvam, Sivaramakrishnan Monikandan

“…The {deck} of a bitopological space $(X, \tau_{1}, \tau_{2})$ is the set $\mathscr{D}(X)=\{[X_{x}]:x\in X\},$ where $[Z]$ denotes the pair-homeomorphism class of $Z$. …”
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On generalized ω-closed sets by Khalid Y. Al-Zoubi

“…The class of ω-closed subsets of a space (X,τ) was defined to introduce ω-closed functions. …”
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Some Properties of lp(A,X) Spaces by Xiaohong Fu, Songxiao Li

“…We provide a representation of elements of the space lp(A,X) for a locally convex space X and 1≤p<∞ and determine its continuous dual for normed space X and 1<p<∞. …”
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A note on rings of continous functions by J. S. Yang

“…For a topological space X, and a topological ring A, let C(X,A) be the ring of all continuous functions from X into A under the pointwise multiplication. …”
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I-Lindelof spaces by Khalid Al-Zoubi, Bassam Al-Nashef

“…We define a space (X,T) to be I-Lindelof if every cover &#x1D49C; of X by regular closedsubsetsof the space (X,T) contains a countable subfamily &#x1D49C;′ suchthat X=∪{int(A):A∈A′}. …”
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On a higher-order evolution equation with a Stepanov-bounded solution by Aribindi Satyanarayan Rao

“…We study strong solutions u:ℝ→X, a Banach space X, of the nth-order evolution equation u(n)−Au(n−1)=f, an infinitesimal generator of a strongly continuous group A:D(A)⊆X→X, and a given forcing term f:ℝ→X. …”
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Lipschitz measures and vector-valued Hardy spaces by Magali Folch-Gabayet, Martha Guzmán-Partida, Salvador Pérez-Esteva

“…When the Banach space is a dual space X*, these spaces can be identified with the duals of the atomic vector-valued Hardy spaces HXp(ℝn), 0<p<1. …”
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Some Results of τ1τ2-δ Semiconnectedness and Compactness in Bitopological Spaces by M. Arunmaran, K. Kannan

“…That is, if a bitopological space (X,τ1,τ2) is τ1τ2-δ semiconnected, then the topological spaces (X,τ1) and (X,τ2) are δ-semiconnected. …”
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On some properties of Banach operators by A. B. Thaheem, AbdulRahim Khan

“…A mapping α from a normed space X into itself is called a Banach operator if there is a constant k such that 0≤k<1 and ‖α2(x)−α(x)‖≤k‖α(x)−x‖ for all x∈X. …”
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Universal flops of length 1 and 2 from D2-branes at surface singularities by Marina Moleti, Roberto Valandro

“…The geometry of the total space X of such a family can be encoded in a scalar field Φ, which lives in the corresponding ADE algebra and depends on the deformation parameters. …”
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On P- and p-Convexity of Banach Spaces by Omar Muñiz-Pérez

“…We show that every U-space and every Banach space X satisfying δX(1)>0 are P(3)-convex, and we study the nonuniform version of P-convexity, which we call p-convexity.…”
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Evolution semigroups for nonautonomous Cauchy problems by Gregor Nickel

“…In this paper, we characterize wellposedness of nonautonomous, linear Cauchy problems (NCP)  {u˙(t)=A(t)u(t)u(s)=x∈X on a Banach space X by the existence of certain evolution semigroups.…”
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Remarks on quadratic equations in Banach space by Ioannis K. Argyros

“…We find new sufficient conditions for the uniqueness of solutions of quadratic and in general multilinear equations in a Banach space X, by assuming the existence of a certain limit of linear operators in a suitable subspace of X.…”
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Coupled Fixed Point Theorems in Topological Spaces with Size Function Topology by Gun Sunyeekhan

“…Regarding the concept of size function topology, this allows us to view the topological space X as a metric-like space. We prove the existence and uniqueness for a coupled fixed point of the map F:X×X⟶X satisfying some certain contractive conditions.…”
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Coproximinality in the Space of Bounded Functions by Eyad Abu-Sirhan, Zuhier Altawallbeh

“…In this paper, we shall consider the relation between coproximinality of a nonempty subset M of a Banach space X and of C(S, M) in C(S, X).…”
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Existence of the Mild Solutions for Delay Fractional Integrodifferential Equations with Almost Sectorial Operators by Fang Li

“…This paper is concerned with the existence of mild solutions for the fractional integrodifferential equations with finite delay and almost sectorial operators in a separable Banach space X. We obtain existence theorem for mild solutions to the above-mentioned equations, by means of measure of noncompactness and the resolvent operators associated with almost sectorial operators. …”
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An extension of Horn's theorem for a space of locally integrable functions by Hernan R. Henriquez, Eduardo A. Hernandez

“…In this paper we extend the fixed point theorem of Horn's to the space of locally integrable functions from (−∞,0] into a Banach space X.…”
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Optimal problem of cost function for the linear neutral systems by Jong Yeoul Park, Yong Han Kang

“…We study the optimal control problem of a system governed by linear neutral type in Hilbert space X. We investigate optimal condition for quadratic cost function and as applications, we give some examples.…”
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Spatial numerical ranges of elements of subalgebras of C0(X) by Sin-Ei Takahasi

“…When A is a subalgebra of the commutative Banach algebra C0(X) of all continuous complex-valued functions on a locally compact Hausdorff space X, the spatial numerical range of element of A can be described in terms of positive measures.…”
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