Title of article :
Operator-Norm Approximation of Semigroups by Quasi-sectorial Contractions
Author/Authors :
Cachia، نويسنده , , Vincent and Zagrebnov، نويسنده , , Valentin A.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2001
Abstract :
We extend the Chernoff theory of approximation of contraction semigroups à la Trotter. We show that the Trotter–Neveu–Kato convergence theorem holds in operator norm for a family of uniformly m-sectorial generators in a Hilbert space. Then we obtain a Chernoff-type approximation theorem for quasi-sectorial contractions on a Hilbert space in the operator norm. We give necessary and sufficient conditions for the operator-norm convergence of Trotter-type product formulae.
Keywords :
Chernoff theory , Trotter product formula , operator-norm convergence , holomorphic semigroups , Sectorial operators , quasi-sectorial contractions
Journal title :
Journal of Functional Analysis
Journal title :
Journal of Functional Analysis