The behavior of the radical of the algebras generated by a semigroup of operators on Hilbert space


Mustafayev H.

JOURNAL OF OPERATOR THEORY, cilt.57, ss.19-34, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 57 Konu: 1
  • Basım Tarihi: 2007
  • Dergi Adı: JOURNAL OF OPERATOR THEORY
  • Sayfa Sayıları: ss.19-34

Özet

Let T = {T(t)}(t >= 0) be a continuous semigroup of contractions on a Hilbert space. We define A(T) as the closure of the set {(f) over cap (T) : f is an element of L-1 (R+)} with respect to the operator-norm topology, where (f) over cap (T) =