Results 41 to 50 of about 98 (84)
Journal of Mathematical Analysis and Applications, 2004 An operator \(T\) on a Banach space \({\mathcal B}\) is said to be supercyclic if there is \(x\in{\mathcal B}\) such that \(\{\lambda T^n x: \lambda \in \mathbb C \text{ and } n=0,1,\ldots \}\) is dense in \(\mathcal B\). If norm density is replaced by density with respect to the weak topology, then one obtains the concept of weakly supercyclic ...
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SUPERCYCLICITY OF TWO-ISOMETRIES
Honam Mathematical Journal, 2008 M. Faghih Ahmadi, K. Hedayatian
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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 \(X\).
Karim Hedayatian
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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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On Weak Supercyclicity I [PDF]
Proceedings of the Royal Irish Academy, 2018 This paper provides conditions (i) to distinguish weak supercyclicity form supercyclicity for operators acting on normed and Banach spaces, and also (ii) to ensure when weak supercyclicity implies weak stability.
Kubrusly, Carlos S., Duggal, Bhagwati P.
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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.
Sachi Srivastava +2 more
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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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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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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