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

作者: Barry Simon

DOI: 10.1016/0022-1236(78)90094-0

关键词:

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

参考文章(5)
J. v. Neumann, On Rings of Operators. III The Annals of Mathematics. ,vol. 41, pp. 94- ,(1940) , 10.2307/1968823
F. J. Murray, J. v. Neumann, On Rings of Operators The Annals of Mathematics. ,vol. 37, pp. 116- 229 ,(1936) , 10.2307/1968693
William G. Faris, Self-Adjoint Operators ,(1975)