On the radicals of algebras generated by a contraction

Mustafaev H.

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, vol.44, no.3, pp.226-229, 2010 (SCI-Expanded) identifier identifier


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.