Properties of Mori's generalised Langevin equation follow from Volterra equation well-posedness independent of the projection formalism, and new spectral projections make the memory term vanish entirely.
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The orthogonal dynamics for Mori's projection is a strongly continuous semigroup generated by QL Q, with the GLE and 2FDT holding for autonomous systems whose evolution is a strongly continuous semigroup
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Generalised Langevin Dynamics: Significance and Limitations of the Projection Operator Formalism
Properties of Mori's generalised Langevin equation follow from Volterra equation well-posedness independent of the projection formalism, and new spectral projections make the memory term vanish entirely.
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On the generalized Langevin equation and the Mori projection operator technique
The orthogonal dynamics for Mori's projection is a strongly continuous semigroup generated by QL Q, with the GLE and 2FDT holding for autonomous systems whose evolution is a strongly continuous semigroup