Functional calculus for $C_0$semigroups using infinitedimensional systems theory
Abstract
In this short note we use ideas from systems theory to define a functional calculus for infinitesimal generators of strongly continuous semigroups on a Hilbert space. Among others, we show how this leads to new proofs of (known) results in functional calculus.
 Publication:

arXiv eprints
 Pub Date:
 February 2015
 arXiv:
 arXiv:1502.01957
 Bibcode:
 2015arXiv150201957S
 Keywords:

 Mathematics  Functional Analysis;
 47A60 (primary);
 93C25
 EPrint:
 6 pages