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- W1978501907 abstract "For original paper see Coveney et. al., ibid., vol.25, p.4947 (1992). George and Prigogine (ibid., vol.26, p.3905, 1993) interpret the authors previous paper as destructive criticism of the Brussels formalism. However they argue that their aim was to discover conditions under which this method might be supported by rigorous analysis and that their results give a set of sufficient conditions, admittedly quite restrictive, for the validity of a part of the formalism. The Brussels school has never promulgated any agreed choice for the function space in which the formalism's operators are to act. In their work they chose a Hilbert space. This structure sufficed for the theorems they could prove, which concern only the P subspace. They agree that additional structure, such as that of a rigged Hilbert space, may be necessary to give effect to the Brussels formalism outside the P subspace, but since this additional structure would not have affected their results they do not see that its omission was a misrepresentation. Further comments are made." @default.
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- W1978501907 date "1993-08-07" @default.
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- W1978501907 title "Reply to comments by George and Prigogine on the paper 'On the validity of the Brussels formalism in statistical mechanics'" @default.
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- W1978501907 doi "https://doi.org/10.1088/0305-4470/26/15/039" @default.
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