Topics on Projective Spectra of (LB)-Spaces

The paper first gives a new introduction to Palamodov’s theory of the projective limit functor avoiding categorical and abstract homological concepts. Then Retakh’s condition for Proj1 χ = 0 for a spectrum χ of (LB)-spaces is discussed. Conditions are derived which are accessible for evaluation. In §3 these conditions are connected to certain topologica! properties of the projective limit and finally the case of sequence spaces is presented, where we have a complete characterization in terms of the defining matrices.