Results 71 to 80 of about 184 (111)
Weak Supercyclicity—An Expository Survey
Results in MathematicsThis is an exposition on supercyclicity and weak supercyclicity, especially designed to advance further developments in weakly supercyclicity, which is a recent research field showing significant momentum during the past two decades. For operators on a normed space, the present paper explores the relationship among supercyclicity and three versions of ...
CARLOS S Kubrusly, Kubrusly CARLOS S
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Supercyclicity criteria for $$C_0$$-semigroups
Advances in Operator Theory, 2020The authors first give some conditions for supercyclicity of a \(C_{0}\)-semigroup. They give different supercyclicity criteria and prove their equivalence for \(C_{0}\)-semigroups. Examples of semigroups satisfying the supercyclicity criteria are given.
Abhay Kumar +2 more
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Supercyclicity in Spaces of Operators
Results in Mathematics, 2015The authors prove a sufficient criterion for the operator \(C_{A,B}:T \mapsto ATB\) to be supercyclic in different algebras of operators on Banach spaces. They also study hypercyclicity and supercyclicity in the space of all bounded operators with respect to the weak\(^\ast\)-topology.
Manjul Gupta, Gupta Manjul
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An extension of the Vu–Sine theorem and compact-supercyclicity
Journal of Mathematical Analysis and Applications, 2007 If (Tt)t⩾0 is a bounded C0-semigroup in a Banach space X and there exists a compact subset K⊆X such thatlim inft→∞ρ(Ttx,K)=0(∀x∈X,‖x‖⩽1), then there exists a finite-dimensional subspace L⊆X such thatlimt→∞ρ(Ttx,L)=0(∀x∈X).If T:X→X (X is real or complex ...
Storozhuk, K.V.
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Bulletin of the London Mathematical Society, 2003
This survey describes some recent results on linear subspaces in which all elements, except the zero vector, are supercyclic for a given supercyclic operator. Before stating some results precisely, we need to recall that the set of normal eigenvalues of an operator \(T\), denoted by \(\sigma_0(T)\), is the set of isolated points in the spectrum of \(T\)
Montes-Rodríguez, Alfonso +1 more
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This survey describes some recent results on linear subspaces in which all elements, except the zero vector, are supercyclic for a given supercyclic operator. Before stating some results precisely, we need to recall that the set of normal eigenvalues of an operator \(T\), denoted by \(\sigma_0(T)\), is the set of isolated points in the spectrum of \(T\)
Montes-Rodríguez, Alfonso +1 more
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$$\mathbb {R}$$- and $${\mathbb {C}}$$-supercyclicity for some classes of operators
Banach Journal of Mathematical AnalysisThe concept of $\mathbb C$-supercyclic operators was introduced by Hilden and Wallen in \cite{hilden} and, since then, a multitude of variants have been studied.
E D'Aniello
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On Supercyclicity of Tuples of Operators
Bulletin of the Malaysian Mathematical Sciences Society, 2014This article continues work by \textit{N. S. Feldman} in [J. Math. Anal. Appl. 346, No. 1, 82--98 (2008; Zbl 1148.47008)], and presents several results about supercyclic and hypercyclic \(n\)-tuples \(T=(T_1,\dots,T_n)\) of commuting bounded operators on a separable Banach space \(X\).
Soltani, R. +2 more
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The Volterra Operator is not Supercyclic
Integral Equations and Operator Theory, 2004If \((B,\|.\|_B)\) is a Banach space with norm \(\|.\|_B\), then according to statements of the introduction of this paper, a bounded linear operator \(T\) on \(B\) is said to be supercyclic if there is a vector \(f\) in \(B\) such that \[ \{\lambda_n T^n(f),\,\lambda_n\in \mathbb{C},\;n= 0,1,2,3,\dots\} \] constitutes a dense subspace of \(B\).
Gallardo-Gutiérrez, Eva A. +1 more
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$ \mathbb{C} $ -supercyclic versus $ \mathbb{R}^+ $ -supercyclic operators
Archiv der Mathematik, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bermúdez, Teresa +2 more
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Oil Information Technology Journal, 2021
Despite an industry in crisis, a lot is happening in upstream software. Oil IT Journal editor Neil McNaughton reports on the huge data migration effort required to power-on OSDU, on OSDU pushback from the SPE, on Shell’s own (non OSDU) OpenAI initiative, on the strangeness of ‘hiding’ emissions data, on the great conflation of IT and ‘green’, on the ...
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Despite an industry in crisis, a lot is happening in upstream software. Oil IT Journal editor Neil McNaughton reports on the huge data migration effort required to power-on OSDU, on OSDU pushback from the SPE, on Shell’s own (non OSDU) OpenAI initiative, on the strangeness of ‘hiding’ emissions data, on the great conflation of IT and ‘green’, on the ...
openaire +1 more source