A spectral containment theorem analogous to the semigroup theory result e^tσ(A) ⊆ σ(e^tA)

D. M. Terlinden

Vol. 101 (1982), No. 2, 493–501

DOI: 10.2140/pjm.1982.101.493

Abstract

It is known that if A generates a (C₀) semigroup (e^tA), then e^tσ(A) ⊆ σ(e^tA), where σ denotes “spectrum.” This result is generalized to the context of solution operators of certain n-th order linear differential equations.

Mathematical Subject Classification

Primary: 47D05, 47D05

Milestones

Received: 1 December 1980

Published: 1 August 1982