|
Brief communications
On the Radicals of Algebras Generated by a Contraction
H. S. Mustafaev Yuzuncu Yil University, Turkey
Abstract:
Let $T$ be a contraction on a Banach space, and let $A_{T}$ ($W_{T}$) be the closure in the uniform (respectively, in the weak) operator topology of the set of all polynomials in $T$. The asymptotic behavior of the radicals of the algebras $A_{T}$ and $W_{T}$ is studied.
Keywords:
Banach space, contraction, spectrum, local spectrum, radical.
Received: 15.07.2009
Citation:
H. S. Mustafaev, “On the Radicals of Algebras Generated by a Contraction”, Funktsional. Anal. i Prilozhen., 44:3 (2010), 80–84; Funct. Anal. Appl., 44:3 (2010), 226–229
Linking options:
https://www.mathnet.ru/eng/faa2998https://doi.org/10.4213/faa2998 https://www.mathnet.ru/eng/faa/v44/i3/p80
|
|