Abstract
The aim of this note is to investigate the projective tensor products of Fréchet spaces satisfying a “dominating norm” condition. It is shown that the class of these spaces is not closed under completed projective tensor products. Positive inheritance results are obtained in the setting of Köthe echelon spaces and of Fréchet spaces of type 2.
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Mangino, E.M. (DN)-type properties and projective tensor products. Results. Math. 36, 110–120 (1999). https://doi.org/10.1007/BF03322106
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DOI: https://doi.org/10.1007/BF03322106