Results 61 to 70 of about 1,609,497 (228)
Boundedness and compactness of a new product-type operator from a general space to Bloch-type spaces
Journal of Inequalities and Applications, 2016 We characterize the boundedness and compactness of a product-type operator, which, among others, includes all the products of the single composition, multiplication, and differentiation operators, from a general space to Bloch-type spaces.
Stevo Stević +2 more
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On the compactness and the essential norm of operators defined by infinite tridiagonal matrices
Concrete Operators, 2023 In this article, all sequences u{\boldsymbol{u}}, v{\boldsymbol{v}}, and w{\boldsymbol{w}} that define continuous and compact tridiagonal operators Tu,v,w{T}_{u,v,w} acting on the weighted sequence space lβ2{l}_{\beta }^{2} were characterized ...
Caicedo Alexander +2 more
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Operator Theory on One-Sided Quaternionic Linear Spaces: Intrinsic S-Functional Calculus and Spectral Operators [PDF]
Memoirs of the American Mathematical Society, 2018 Two themes drive this article: identifying the structure necessary to formulate quaternionic operator theory and revealing the relation between complex and quaternionic operator theory.
J. Gantner
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Chaotic roots of the modular multiplication dynamical system in Shor's algorithm
Physical Review ResearchShor's factoring algorithm, believed to provide an exponential speedup over classical computation, relies on finding the period of an exactly periodic quantum modular multiplication operator. This exact periodicity is the hallmark of an integrable system,
Abu Musa Patoary +3 more
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On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces
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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On the reduced minimum modulus of multiplication operators [PDF]
Mathematics and Computational SciencesIn this paper, we investigate the properties of the reduced minimum modulus in the context of Banach spaces. Given a Banach space $X$, we denote the algebra of bounded operators on $X$ as $B(X)$. Our primary focus is on examining the relationship between
Hamid Rezaei
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A note on Nakano generalized difference sequence space
Advances in Difference Equations, 2020 In this paper, we investigate the necessary conditions on any s-type sequence space to form an operator ideal. As a result, we show that the s-type Nakano generalized difference sequence space X fails to generate an operator ideal.
Awad A. Bakery, Afaf R. Abou Elmatty
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Demonstratio Mathematica, 2022 Let AΦ(K){{\mathbb{A}}}_{\Phi }\left({\bf{K}}) be the Banach algebra of bounded Φ\Phi -variation functions defined on a compact set K{\bf{K}} in the complex plane, hh a function defined on K{\bf{K}}, and Mh{M}_{h} a multiplication operator induced by hh.
Bracamonte Mireya +2 more
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Reflexivity of the translation-dilation algebras on L^2(R)
, 2003 The hyperbolic algebra A_h, studied recently by Katavolos and Power, is the weak star closed operator algebra on L^2(R) generated by H^\infty(R), as multiplication operators, and by the dilation operators V_t, t \geq 0, given by V_t f(x) = e^{t/2} f(e^t ...
Davidson K. R. +4 more
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The Spectrum of the Multiplication Operator Associated with a Family of Operators in a Banach Space
, 2005 An operator family of densely defined closed linear operators and the multiplication operator associated with it are considered. The spectrum of this multiplication operator is expressed in terms of the spectra of the operators in the given family.
R. Denk, M. Möller, C. Tretter
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