• DOI:10.1016/0022-1236(78)90094-0
Corpus ID: 5350330

A canonical decomposition for quadratic forms with applications to monotone convergence theorems

@article{Simon1978ACD,
  title={A canonical decomposition for quadratic forms with applications to monotone convergence theorems},
  author={B. Simon},
  journal={Journal of Functional Analysis},
  year={1978},
  volume={28},
  pages={377-385}
}

B. Simon

Published 1978

Mathematics

Journal of Functional Analysis

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We prove monotone convergence theorems for quadratic forms on a Hilbert space which improve existing results. The main tool is a canonical decomposition for any positive quadratic form h = hr + hs where hr is characterized as the largest closable form smaller than h. There is also a systematic discussion of nondensely defined forms.