Projective limits of weighted (LB)-spaces of continuous functions

摘要

Countable projective spectra of countable inductive limits, called(PLB)-spaces, of weighted Banach spaces of continuous functions are investi-gated. It is characterized when the derived projective limit functor vanishes interms of the sequences of the weights defining the spaces. The locally convexproperties of the corresponding projective limits are analyzed, too.