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Hypercyclic subspaces and weighted shifts

✍ Scribed by Menet, Quentin


Book ID
122210608
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
401 KB
Volume
255
Category
Article
ISSN
0001-8708

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Supercyclic Subspaces: Spectral Theory a
✍ Alfonso Montes-Rodrı́guez; HΓ©ctor N Salas πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 540 KB

A vector x in a Banach space B is called hypercyclic for a bounded operator T if the orbit {T n x: n \ 0} is dense in B. If the scalar multiples of the elements in the orbit are dense, then the vector x is called supercyclic. We give a general sufficient condition for a bounded operator on a Banach