On the norm-closure of the class of hypercyclic operators
Christoph Schmoeger
Annales Polonici Mathematici, Tome 66 (1997), p. 157-161 / Harvested from The Polish Digital Mathematics Library
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Let T be a bounded linear operator acting on a complex, separable, infinite-dimensional Hilbert space and let f: D → ℂ be an analytic function defined on an open set D ⊆ ℂ which contains the spectrum of T. If T is the limit of hypercyclic operators and if f is nonconstant on every connected component of D, then f(T) is the limit of hypercyclic operators if and only if f(σW(T))∪z∈ℂ:|z|=1 is connected, where σW(T) denotes the Weyl spectrum of T.

Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:269977 
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Christoph Schmoeger. On the norm-closure of the class of hypercyclic operators. Annales Polonici Mathematici, Tome 66 (1997) pp. 157-161. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv65z2p157bwm/

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