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Examples on projective spectra of \((\text{LB})\)-spaces. (English) Zbl 0855.46001

Summary: In this note we present examples of projective spectra \({\mathcal E}= (E_n )_{n\in \mathbb{N}}\) of (LB)-spaces satisfying \(\text{proj}^1 {\mathcal E}\neq 0\) such that the inductive spectrum \((E_n' )_{n\in \mathbb{N}}\) of the duals is strict. Moreover, we characterize \(\text{proj}^1 {\mathcal E}=0\) for projective spectra of Moscatelli type.

MSC:

46A13 Spaces defined by inductive or projective limits (LB, LF, etc.)
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