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LIMITS OF HYPERCYCLIC AND SUPERCYCLIC OPERATOR MATRICES
Published online by Cambridge University Press: 01 December 2008
Abstract
An operator A on a complex, separable, infinite-dimensional Hilbert space H is hypercyclic if there is a vector x∈H such that the orbit {x,Ax,A2x,…} is dense in H. Using the character of the analytic core and quasinilpotent part of an operator A, we explore the hypercyclicity for upper triangular operator matrix
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 85 , Issue 3 , December 2008 , pp. 367 - 376
- Copyright
- Copyright © Australian Mathematical Society 2009