Results 51 to 60 of about 102 (87)
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Rotations of Hypercyclic and Supercyclic Operators
Integral Equations and Operator Theory, 2004A (bounded linear) operator \(T\) on a Banach space \(X\) is called hypercyclic if there is a vector \(x \in X\) such that its orbit \(\{T^n(x) \;| \;n=0,1,2,... \}\) is dense in \(X\); the vector \(x\) is called hypercyclic for \(T\). The operator \(T\) is called supercyclic if \(\{ \alpha T^n(x) \;| \alpha \in \mathbb C, n \in \mathbb N \}\) is dense
Fernando Leon Saavedra +2 more
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Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2011
If \(T\) is an operator on a Hilbert space \(H\) and \(x \in H\), the orbit of \(x\) under \(T\) is \(O(x,T):=\{T^n(x) : n \in \mathbb{N} \}\) and the scaled orbit of \(T\) is the set \(S(x,T):=\{c T^n(x) : c \in \mathbb{K}, \;n \in \mathbb{N} \}\); here, \(\mathbb{K}\) is the field of real or complex numbers. An operator \(T\) on a Hilbert space \(H\)
Nathan S Feldman, Feldman Nathan S
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If \(T\) is an operator on a Hilbert space \(H\) and \(x \in H\), the orbit of \(x\) under \(T\) is \(O(x,T):=\{T^n(x) : n \in \mathbb{N} \}\) and the scaled orbit of \(T\) is the set \(S(x,T):=\{c T^n(x) : c \in \mathbb{K}, \;n \in \mathbb{N} \}\); here, \(\mathbb{K}\) is the field of real or complex numbers. An operator \(T\) on a Hilbert space \(H\)
Nathan S Feldman, Feldman Nathan S
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The Conjugate Class of a Supercyclic Operator
Complex Analysis and Operator Theory, 2011The authors show that the conjugate class of any supercyclic operator \(T\) on a separable, infinite dimensional real or complex Banach space \(X\) contains a path of supercyclic operators which is dense in the strong operator topology. For the case when \(X\) is a complex Banach space, the authors prove that the set of common supercyclic vectors for ...
Yunhua Zhou +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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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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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.
Gupta, Manjul, Mundayadan, Aneesh
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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 ...
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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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Seismological Research Letters, 2013
Online Material: Additional site maps, plots and correlation fits. The recent 2011 M w 9.0 Tohoku, Japan, and the 2004 M w 9.15 Sumatra–Andaman superquakes have humbled many in earthquake research. Neither region was thought capable of earthquakes exceeding M w∼8.4.
C. Goldfinger +3 more
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Online Material: Additional site maps, plots and correlation fits. The recent 2011 M w 9.0 Tohoku, Japan, and the 2004 M w 9.15 Sumatra–Andaman superquakes have humbled many in earthquake research. Neither region was thought capable of earthquakes exceeding M w∼8.4.
C. Goldfinger +3 more
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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, Sachi Srivastava
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