Download or read book The Role of the Spectrum in the Cyclic Behavior of Composition Operators written by Eva A. Gallardo-Gutieŕrez and published by . This book was released on 2014-09-11 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bounded operator $T$ acting on a Hilbert space $\mathcal H$ is called cyclic if there is a vector $x$ such that the linear span of the orbit $\{T DEGREESn x: n \geq 0 \}$ is dense in $\mathcal H$. If the scalar multiples of the orbit are dense, then $T$ is called supercyclic. Finally, if the orbit itself is dense, then $T$ is called hyper