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We study electronic properties of solids with correlated d electrons whichcould be described by a multiband Hubbard Hamiltonian in the weak-interactioncase, $U/w<1$. The one-electron part of the many-body Hamiltonian is describedby a tight-binding LMTO method. The many-body part is treated bynon-selfconsistent FLEX-type approximations with adjusted chemical potentialnot to change the LMTO band filling. The calculated DOS gets narrower but isonly little influenced by electron correlations at the Fermi energy. Aprecursor of a satellite band in the paramagnetic bcc Ni is found at about 6 eVbelow the Fermi level in agreement with experiment.

Dynamical Electron Correlations in Metals: Tb-Lmto and Multiband Hubbard Hamiltonian