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A canonical decomposition for quadratic forms with applications to monotone convergence theorems. (English) Zbl 0413.47029

MSC:
47B25 Linear symmetric and selfadjoint operators (unbounded)
47A55 Perturbation theory of linear operators
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References:
[1] Faris, W, Self-adjoint operators, () · Zbl 0317.47016
[2] Kato, T; Kato, T, Perturbation theory for linear operators, (1976), Springer, Verlag Berlin/Heidelberg/New York · Zbl 0342.47009
[3] von Neumann, J, On rings of operators, III, Ann. of math., 41, 94-161, (1940), esp. pp. 127-130 · Zbl 0023.13303
[4] Reed, M; Simon, B, Methods of modern mathematical physics I. functional analysis, (1972), Academic Press New York
[5] \scB. Simon, Classical boundary value methods in modern mathematical physics, Advances in Math., to appear.
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