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


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)


† 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