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  1. Integral Equations and Operator Theory
  2. Integral Equations and Operator Theory : Volume 57
  3. Integral Equations and Operator Theory : Volume 57, Issue 3, March 2007
  4. Hypercyclic Conjugate Operators
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Integral Equations and Operator Theory : Volume 88
Integral Equations and Operator Theory : Volume 87
Integral Equations and Operator Theory : Volume 86
Integral Equations and Operator Theory : Volume 85
Integral Equations and Operator Theory : Volume 84
Integral Equations and Operator Theory : Volume 83
Integral Equations and Operator Theory : Volume 82
Integral Equations and Operator Theory : Volume 81
Integral Equations and Operator Theory : Volume 80
Integral Equations and Operator Theory : Volume 79
Integral Equations and Operator Theory : Volume 78
Integral Equations and Operator Theory : Volume 77
Integral Equations and Operator Theory : Volume 76
Integral Equations and Operator Theory : Volume 75
Integral Equations and Operator Theory : Volume 74
Integral Equations and Operator Theory : Volume 73
Integral Equations and Operator Theory : Volume 72
Integral Equations and Operator Theory : Volume 71
Integral Equations and Operator Theory : Volume 70
Integral Equations and Operator Theory : Volume 69
Integral Equations and Operator Theory : Volume 68
Integral Equations and Operator Theory : Volume 67
Integral Equations and Operator Theory : Volume 66
Integral Equations and Operator Theory : Volume 65
Integral Equations and Operator Theory : Volume 64
Integral Equations and Operator Theory : Volume 63
Integral Equations and Operator Theory : Volume 62
Integral Equations and Operator Theory : Volume 61
Integral Equations and Operator Theory : Volume 60
Integral Equations and Operator Theory : Volume 59
Integral Equations and Operator Theory : Volume 58
Integral Equations and Operator Theory : Volume 57
Integral Equations and Operator Theory : Volume 57, Issue 4, April 2007
Integral Equations and Operator Theory : Volume 57, Issue 3, March 2007
A Remark on Support of the Principal Function for Class A Operators
The σg-Drazin Inverse and the Generalized Mbekhta Decomposition
Extensions of Well-Boundedness and Cm-Scalarity
Regular Couplings of Dissipative and Anti-Dissipative Unbounded Operators, Asymptotics of the Corresponding Non-Dissipative Processes and the Scattering Theory
Boundedness of Commutators on Hardy-Type Spaces
The Bargmann Transform and Windowed Fourier Localization
Hypercyclic Conjugate Operators
Hilbert-Schmidt Hankel Operators on the Bergman Space of Planar Domains
Integral Equations and Operator Theory : Volume 57, Issue 2, February 2007
Integral Equations and Operator Theory : Volume 57, Issue 1, January 2007
Integral Equations and Operator Theory : Volume 56
Integral Equations and Operator Theory : Volume 55
Integral Equations and Operator Theory : Volume 54
Integral Equations and Operator Theory : Volume 53
Integral Equations and Operator Theory : Volume 52
Integral Equations and Operator Theory : Volume 51
Integral Equations and Operator Theory : Volume 50
Integral Equations and Operator Theory : Volume 49
Integral Equations and Operator Theory : Volume 48
Integral Equations and Operator Theory : Volume 47
Integral Equations and Operator Theory : Volume 46
Integral Equations and Operator Theory : Volume 45
Integral Equations and Operator Theory : Volume 44
Integral Equations and Operator Theory : Volume 43
Integral Equations and Operator Theory : Volume 42
Integral Equations and Operator Theory : Volume 41
Integral Equations and Operator Theory : Volume 40
Integral Equations and Operator Theory : Volume 39
Integral Equations and Operator Theory : Volume 38
Integral Equations and Operator Theory : Volume 37
Integral Equations and Operator Theory : Volume 36
Integral Equations and Operator Theory : Volume 35
Integral Equations and Operator Theory : Volume 34
Integral Equations and Operator Theory : Volume 33
Integral Equations and Operator Theory : Volume 32
Integral Equations and Operator Theory : Volume 31
Integral Equations and Operator Theory : Volume 30
Integral Equations and Operator Theory : Volume 29
Integral Equations and Operator Theory : Volume 28
Integral Equations and Operator Theory : Volume 27

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Hypercyclic Conjugate Operators

Content Provider SpringerLink
Author Petersson, Henrik
Copyright Year 2006
Abstract We prove that for any weighted backward shift B = Bw on an infinite dimensional separable Hilbert space H whose weight sequence w = (wn) satisfies $$ \sup_{n} {\left| {w_{1} w_{2} \ldots w_{n} } \right|} = \infty $$ , the conjugate operator $$ C_{B} :S \mapsto BSB^{*} $$ is hypercyclic on the space S(H) of self-adjoint operators on H provided with the topology of uniform convergence on compact sets. That is, there exists an $$ S \in S(H) $$ such that $$ \{ C^{n}_{B} (S) = B^{n} SB^{*n}\} _{{n \geq 0}} $$ is dense in S(H). We generalize the result to more general conjugate maps $$ S \mapsto TST^{*} $$ , and establish similar results for other operator classes in the algebra B(H) of bounded operators, such as the ideals K(H) and N(H) of compact and nuclear operators respectively.
Ending Page 423
Page Count 11
Starting Page 413
File Format PDF
ISSN 0378620X
e-ISSN 14208989
Journal Integral Equations and Operator Theory
Issue Number 3
Volume Number 57
Language English
Publisher Birkhäuser-Verlag
Publisher Date 2006-12-26
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword hypercyclicity criterion Operator approximation theory Transformers, preservers (operators on spaces of operators) Analysis Hypercyclic backward shift Cyclic vectors, hypercyclic and chaotic operators Algebras of operators on Banach spaces and other topological linear spaces Operators belonging to operator ideals (nuclear, $p$ -summing, in the Schatten-von Neumann classes, etc.) conjugate operator operator algebra
Content Type Text
Resource Type Article
Subject Algebra and Number Theory Analysis
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