Results 1 to 10 of about 10,154 (314)
OAM multiplication operator enabled holographic multiplexing [PDF]
Light: Science & ApplicationsHolography has emerged as a vital platform for three-dimensional displays, optical encryption, and photonic information processing, leveraging diverse physical dimensions of light such as wavelength, polarization, and orbital angular momentum (OAM) to ...
Feiyang Shen +8 more
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On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces [PDF]
Abstract and Applied Analysis, 2009 A bounded linear operator T on a Hilbert space ℋ, satisfying ‖T2h‖2+‖h‖2≥2‖Th‖2 for every h∈ℋ, is called a convex operator. In this paper, we give necessary and sufficient conditions under which a convex composition operator on a large class of weighted ...
Karim Hedayatian, Lotfollah Karimi
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Multiplication Operator with BMO Symbols and Berezin Transform [PDF]
Journal of Function Spaces, 2015 We discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.
Xue Feng +4 more
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Extrapolation of operator-valued multiplication operators [PDF]
Quaestiones Mathematicae, 2021 We discuss $\mathrm{L}^p$ fiber spaces which appear, e.g., as extrapolation spaces of unbounded multiplication operators which in turn are motivated, for instance, by non-autonomous evolution equations.
Christian Budde, Retha Heymann
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Multiplication operators on $L^{p}$ [PDF]
Studia Mathematica, 2018 We show that every operator on $L^{p ...
March T. Boedihardjo
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Hypercyclicity of adjoint of convex weighted shift and multiplication operators on Hilbert spaces [PDF]
Mathematics and Computational Sciences, 2021 A bounded linear operator $T$ on a Hilbert space $\mathfrak{H}$ is convex, if $$\|\mathfrak{T}^{2}v\|^2-2\|\mathfrak{T}v\|^2+\|v\|^2 \geq 0.$$ In this paper, sufficient conditions to hypercyclicity of adjoint of unilateral (bilateral) forward (backward ...
Lotfollah Karimi
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Israel Journal of Mathematics, 2015 For functions of a single complex variable, points of multiplicity greater than $k$ are characterized by the vanishing of the first $k$ derivatives. There are various quantitative generalizations of this statement, showing that for functions that are in some sense close to having multiplicity greater than $k$, the first $k$ derivatives must be small ...
Binyamini, Gal, Novikov, Dmitry
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Gazi Üniversitesi Fen Bilimleri Dergisi, 2022 In this paper, we develop to a new operator by using together IVBFS and Dombi operators. Also, the some properties of this concept are introduced like addition, scalar multiplication, scalar power, multiplication.
Şerif ÖZLÜ
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Multiplication from other operations [PDF]
Proceedings of the American Mathematical Society, 1971 Given the operations of subtraction and reciprocaltaking we show that the operation of multiplication is determined in any field. The amusing difference is that for characteristic 2 it is not given by a formula while for other characteristics, it is. The identity xy = ((x + y 2)-1 (x + y + 2)1)-' ((x-y-2)-1(x-y+ 2)y )' shows how multiplication of real ...
Kohn, S., Newman, D. J.
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Ｒesearch on Generalized Sugeno Fuzzy Probability Integral Based on t-Modular Operator
Journal of Harbin University of Science and Technology, 2021 Fuzzy probability integral is an important part of fuzzy mathematics，and it is an integral form which combines fuzzy probability with integral. In this paper，a quasi-multiplication operator and a quasi-sum operator are designed by using the definition ...
ZHANO Hui, JIANG Xin-ge, SHAN Yun-xiao
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