ACTA issues

On local semigroups of unbounded symmetric operators

Ramón Bruzual

Acta Sci. Math. (Szeged) 83:3-4(2017), 657-671

Abstract. A new proof of a representation result of weakly continuous local semigroups of symmetric operators obtained by A. Klein and L. J. Landau is given. As an application, a representation result as Laplace transform of operator valued functions of positive type, which generalizes a result given by D. V. Widder, is obtained.

DOI: 10.14232/actasm-017-040-x

AMS Subject Classification (1991): 47D03, 47B25, 44A10

Keyword(s): local semigroup of operators, symmetric, self-adjoint, infinitesimal generator

Received June 12, 2017, and in revised form September 3, 2017. (Registered under 40/2017.)