On Fr\'echet-Hilbert Algebras
Functional Analysis
2015-01-30 v1
Abstract
We consider Hilbert algebras with a supplementary Fr\'echet topology and get various extensions of the algebraic structure by using duality techniques. In particular we obtain optimal multiplier-type involutive algebras, which in applications are large enough to be of significant practical use. The setting covers many situations arising from quantization rules, as those involving square-integrable families of bounded operators.
Cite
@article{arxiv.1406.7208,
title = {On Fr\'echet-Hilbert Algebras},
author = {M. Mantoiu and R. Purice},
journal= {arXiv preprint arXiv:1406.7208},
year = {2015}
}
Comments
12 pages