On the asymptotic behaviour of individual elements under one-parameter semigroups

• Autores: Ciprian Preda
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 35, Nº 2, 2009, págs. 619-626
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let T = {T(t)}t=0 be a strongly continuous semigroup of linear operators on the Banach space X. We point out a sufficient condition to guarantee an exponential decay (as t ? 8) of an individual trajectory t ? T(t)x0.