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  1. Rendiconti del Circolo Matematico di Palermo
  2. Rendiconti del Circolo Matematico di Palermo : Volume 65
  3. Rendiconti del Circolo Matematico di Palermo : Volume 65, Issue 2, August 2016
  4. Weak supercyclicity: dynamics of paranormal operators
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Rendiconti del Circolo Matematico di Palermo : Volume 66
Rendiconti del Circolo Matematico di Palermo : Volume 65
Rendiconti del Circolo Matematico di Palermo : Volume 65, Issue 3, December 2016
Rendiconti del Circolo Matematico di Palermo : Volume 65, Issue 2, August 2016
On generalized $$\mathbf {(\alpha ,\beta )}$$ -derivations in prime rings
Approximation properties of Lupas–Kantorovich operators based on Polya distribution
Two versions of fractional powers of Hankel-type transformations and pseudo-differential operators
Stability in delay nonlinear fractional differential equations
Threefolds with one apparent double point
Coincidence point of isotone mappings in partially ordered metric spaces
Gröbner–Shirshov basis and minimal projective resolution of $$U_q^+(A_{n})$$
Weak supercyclicity: dynamics of paranormal operators
Approximate controllability of second order semilinear stochastic system with variable delay in control and with nonlocal conditions
On the property $$(Z_{E_{a}})$$
Some desultory remarks concerning algebraic cycles and Calabi–Yau threefolds
Erratum to: Quartic functional equations in Lipschitz spaces
Rendiconti del Circolo Matematico di Palermo : Volume 65, Issue 1, April 2016
Rendiconti del Circolo Matematico di Palermo : Volume 64
Rendiconti del Circolo Matematico di Palermo : Volume 63
Rendiconti del Circolo Matematico di Palermo : Volume 62
Rendiconti del Circolo Matematico di Palermo : Volume 61
Rendiconti del Circolo Matematico di Palermo : Volume 60
Rendiconti del Circolo Matematico di Palermo : Volume 59
Rendiconti del Circolo Matematico di Palermo : Volume 58
Rendiconti del Circolo Matematico di Palermo : Volume 57
Rendiconti del Circolo Matematico di Palermo : Volume 56
Rendiconti del Circolo Matematico di Palermo : Volume 55
Rendiconti del Circolo Matematico di Palermo : Volume 54
Rendiconti del Circolo Matematico di Palermo : Volume 53
Rendiconti del Circolo Matematico di Palermo : Volume 52
Rendiconti del Circolo Matematico di Palermo : Volume 51
Rendiconti del Circolo Matematico di Palermo : Volume 50
Rendiconti del Circolo Matematico di Palermo : Volume 49
Rendiconti del Circolo Matematico di Palermo : Volume 48
Rendiconti del Circolo Matematico di Palermo : Volume 47
Rendiconti del Circolo Matematico di Palermo : Volume 46

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Weak supercyclicity: dynamics of paranormal operators

Content Provider SpringerLink
Author Duggal, B. P.
Copyright Year 2016
Abstract If A is a Banach space operator with the single-valued extension property such that the isolated points of the spectrum of A are poles of (the resolvent of) A, then A is neither weakly hypercyclic nor n-supercyclic for any positive integer $$n\ge 1$$ . Furthermore, if also A and $$A^{-1}$$ (whenever it exists) are normaloid, then A weakly supercyclic implies A is an invertible isometry. Translated to classes of Hilbert space operators, this implies that if an operator A is either paranormal or $$*$$ -paranormal (or even M-hyponormal), then it is not weakly hypercyclic or n-supercyclic; furthermore, A weakly supercyclic implies A is a scalar multiple of a unitary operator [thereby answering a problem posed in Duggal et al. (J Math Anal Appl 427:107–113, 2015)].
Starting Page 297
Ending Page 306
Page Count 10
File Format PDF
ISSN 0009725X
Journal Rendiconti del Circolo Matematico di Palermo
Volume Number 65
Issue Number 2
e-ISSN 19734409
Language English
Publisher Springer Milan
Publisher Date 2016-02-12
Publisher Place Milan
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Banach space operator Weak hypercyclicity n-supercyclicity Weak supercyclicity SVEP Polaroid operator Totally hereditarily normaloid operator Paranormal operator Subnormal operators, hyponormal operators, etc. Cyclic vectors, hypercyclic and chaotic operators Mathematics Algebra Geometry Analysis Applications of Mathematics
Content Type Text
Resource Type Article
Subject Mathematics
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