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Lower semicontinuhy of positive quadratic forms

Published online by Cambridge University Press:  14 November 2011

Barry Simon
Barry Simon
Affiliation:
Department of Physics, Yeshiva University, New York
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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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 79 , Issue 3-4 , 1978 , pp. 267 - 273
Copyright
Copyright © Royal Society of Edinburgh 1978

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References

1Brezis, H.Maximal Monotone Operators (Amsterdam: North Holland, 1973).Google Scholar
2Dym, H. and McKean, H.Fourier Series and Integrals (London: Academic Press, 1972).Google Scholar
3Kato, T.Perturbation Theory for Linear Operators (Berlin: Springer, 1966).Google Scholar
4Lieb, E. H. and Simon, B.The Thomas-Fermi theory of Atoms, Molecules and Solids. Advances in Math. 23 (1977), 22–116.CrossRefGoogle Scholar
5Lieb, E. H. and simon, B.The Hartree-Fock Theory for Coulomb Systems. Comm. Math. Phys., 53 (1977), 185–194.CrossRefGoogle Scholar
6Reed, M. and Simon, B.Methods of Modern Mathematical Physics. I. Functional Analysis (London: Academic Press, 1972).Google Scholar
7Schechter, M. Cutoff Potentials and Forms Extensions. Yeshiva Univ. Preprint (1976).CrossRefGoogle Scholar
8Simon, B. A Canonical Decomposition for Quadratic Forms with Applications Monotone Convergence Theorems. J. Functional Analysis, to appear.Google Scholar