Positive forms on Banach spaces
Functional Analysis
2007-05-23 v1
Abstract
The first representation theorem establishes a correspondence between positive, self-adjoint operators and closed, positive forms on Hilbert spaces. The aim of this paper is to show that some of the results remain true if the underlying space is a reflexive Banach space. In particular, the construction of the Friedrichs extension and the form sum of positive operators can be carried over to this case.
Cite
@article{arxiv.math/0612015,
title = {Positive forms on Banach spaces},
author = {Balint Farkas and Mate Matolcsi},
journal= {arXiv preprint arXiv:math/0612015},
year = {2007}
}
Comments
13 pages