Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

Lower semicontinuhy of positive quadratic forms

Barry Simona1

a1 Department of Physics, Yeshiva University, New York

Synopsis

We develop various facets of the theory of quadratic forms on a Hilbert space suggested by a criterion of Kato which characterizes closed forms in terms of lower semicontinuity.

(Received January 29 1977)

Footnotes

† On leave from the Departments of Mathematics and Physics, Princeton University. Research partially supported by the U.S. National Science Foundation under Grants MPS-75-11864 and MPS-75-20638