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Operational Resource Theory of Coherence [PDF]
12 pages; v3 has more details in the technical proofs and generally an improved presentation, in particular a more accurate representation of the relation between majorization and incoherent transformations of pure ...
Dong Yang+3 more
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In this article, our main purpose is to define the p,q-variant of Szász-Durrmeyer type operators with the help of Dunkl generalization generated by an exponential function.
Abdullah Alotaibi
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Gauge theory loop operators and Liouville theory [PDF]
We propose a correspondence between loop operators in a family of four dimensional N=2 gauge theories on S^4 -- including Wilson, 't Hooft and dyonic operators -- and Liouville theory loop operators on a Riemann surface. This extends the beautiful relation between the partition function of these N=2 gauge theories and Liouville correlators found by ...
Drukker, N+3 more
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Genuine modified Bernstein–Durrmeyer operators
The present paper deals with genuine Bernstein–Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre K $\mathcal{K}$-functional and corresponding modulus of smoothness, quantitative Voronovskaya ...
Syed Abdul Mohiuddine+2 more
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From Operator Algebras to Superconformal Field Theory [PDF]
We make a review on the recent progress in the operator algebraic approach to (super)conformal field theory. We discuss representation theory, classification results, full and boundary conformal field theories, relations to supervertex operator algebras ...
Connes A.+8 more
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Extended Weyl-Type Theorems for Direct Sums
In this paper, we study the stability of extended Weyl and Browdertype theorems for orthogonal direct sum S⊕T, where S and T are bounded linear operators acting on Banach space.
Berkani M., Kachad M., Zariouh H.
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A counterexample in operator theory [PDF]
The purpose of this note is to give an explicit construction of a bounded operator T acting on the space L2[0,1] such that |Tf(x)| = ?01 |f(y)| dy for a.e. x I [0.1], and, nevertheless, ||T||Sp = 8 for every p < 2. Here || ||Sp denotes the norm associated to the Schatten-Von Neumann classes.
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Minimal and Maximal Operator Spaces and Operator Systems in Entanglement Theory [PDF]
We examine k-minimal and k-maximal operator spaces and operator systems, and investigate their relationships with the separability problem in quantum information theory. We show that the matrix norms that define the k-minimal operator spaces are equal to
Johnston, Nathaniel+3 more
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Sequence spaces M ( ϕ ) $M(\phi)$ and N ( ϕ ) $N(\phi)$ with application in clustering
Distance measures play a central role in evolving the clustering technique. Due to the rich mathematical background and natural implementation of l p $l_{p}$ distance measures, researchers were motivated to use them in almost every clustering process ...
Mohd Shoaib Khan+3 more
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On the Development of Nonlinear Operator Theory [PDF]
Приведены основные результаты для нелинейных операторов. Эти результаты включают нелинейные версии классических теорем: теоремы о равномерной ограниченности и теоремы Хана-Банаха. Кроме того, показано, что отображения метризуемого пространства в нормированное пространство могут лежать в некоторых нормированных пространствах при подходящем определении ...
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