𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hypercyclic and Cyclic Vectors

✍ Scribed by S.I. Ansari

Book ID
102588797
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
424 KB
Volume
128
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Linear Structure of Hypercyclic Vectors
Linear Structure of Hypercyclic Vectors
✍ Fernando LeΓ³n-Saavedra; Alfonso Montes-Rodrı́guez πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 389 KB

A vector x in a Banach space B is called hypercyclic for a bounded linear operator T : B Γ„ B if the orbit [T n x: n 1] is dense in B. Our main result states that if T is a compact perturbation of an operator of norm 1 and satisfies an appropiate extra hypothesis, then there is an infinite-dimensiona

Existence of Hypercyclic Operators on To
Existence of Hypercyclic Operators on Topological Vector Spaces
✍ Shamim I. Ansari πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 261 KB

The present paper introduces a very simple, but very useful notion of the so called quasi-extension of l 1 -operators and proves that a large class of topological vector spaces admit continuous hypercyclic operators. In particular, it answers in the affirmative a question of S. Rolewicz, posed in 19