Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620199 | Journal of Mathematical Analysis and Applications | 2009 | 11 Pages |
Abstract
Let T={T(t)}tâR be a C0-group on a complex Banach space X dominated by a weight function Ï(t)=(1+|t|)α (0⩽α<1) and let A be its generator with domain D(A). Among other things, it is shown that if the operator A has compact local spectrum at xâX, then xâD(A) and there exist double sequences of real numbers (cn)nâZ and (tn)nâZ such thatAx=ânâZcnT(tn)x, whereânâZ|cn|=rA(x); rA(x) is the local spectral radius of A at x. As an application, some inequalities of Bernstein type in Lp-spaces are given.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
H. Mustafayev, C. Temel,