On generalized Stone's Theorem
Operator Algebras
2007-05-23 v1
Abstract
It is known that the generator of a strictly continuous one parameter unitary group in the multiplier algebra of a -algebra is affiliated to that -algebra . We show that under natural non degeneracy conditions, this self adjoint unbounded operator lies indeed in the (unbounded) multiplier algebra of the Pedersen's ideal of the -algebra.
Keywords
Cite
@article{arxiv.math/0205252,
title = {On generalized Stone's Theorem},
author = {Massoud Amini},
journal= {arXiv preprint arXiv:math/0205252},
year = {2007}
}
Comments
7 pages, no figures