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Continuity of Multiplication in Operator Algebras [PDF]
Proceedings of the American Mathematical Society, 1955 Parts of Banach algebra theory have been generalized recently [2; 1 ] to multiplicatively convex topological algebras. An important class of examples of Banach algebras is the class of subalgebras of the algebra of continuous linear transformations on a Banach space.
Alexander Blair
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Compact Weighted Composition Operators and Multiplication Operators between Hardy Spaces [PDF]
Abstract and Applied Analysis, 2008 We estimate the essential norm of a compact weighted composition operator 𝑢𝐶𝜑 acting between different Hardy spaces of the unit ball in ℂ𝑁. Also we will discuss a compact multiplication operator between Hardy spaces.
Sei-Ichiro Ueki, Luo Luo
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Cyclic vectors for multiplication operators. [PDF]
Michigan Mathematical Journal, 1988 If \(E\) is a complex topological vector space and \(T\) a continuous linear transformation on \(E\), a vector \(x\in E\) is a cyclic vector for \(T\) if \(\{p(T)x: p\) a polynomial\(\}\) is dense in \(E\). If \(\mu\) is a compactly supported Borel measure on \(\mathbb C\), let \(X\) be the closed unit ball of \(L^{\infty}(\mu)\) and let \(X_ p\) be ...
Allen Shields
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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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On multiplicativity of the Bernstein operator
Computers & Mathematics with Applications, 2011 AbstractFor continuous functions f and g, we prove that the Bernstein operator Bn is multiplicative for all n≥1 and all x∈2[0,1] if and only if at least one of the functions f and g is a constant function. Some other variants of multiplicativity are also considered.
Gancho Tachev
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Multiplicative preservers and induced operators
Linear Algebra and its Applications, 2004 The study of symmetry classes of tensors is motivated by many branches of pure and applied mathematics, combinatorial theory, matrix theory, operator theory, group representation theory, differential geometry, partial differential equations, quantum mechanics and other areas.
Wai-Shun Cheung +2 more
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Multiplicative forms and Spencer operators [PDF]
Mathematische Zeitschrift, 2014 Motivated by our attempt to recast Cartan's work on Lie pseudogroups in a more global and modern language, we are brought back to the question of understanding the linearization of multiplicative forms on groupoids and the corresponding integrability problem.
Marius Crainic +2 more
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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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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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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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