Open Access
March 2017 On the equality between two diametral dimensions
Françoise Bastin, Loïc Demeulenaere
Funct. Approx. Comment. Math. 56(1): 95-107 (March 2017). DOI: 10.7169/facm/1594


The paper gives sufficient conditions to have the equality between two diametral dimensions of metrizable locally convex spaces and examples of Köthe echelon spaces satisfying them. It also provides examples for which the equality does not hold.


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Françoise Bastin. Loïc Demeulenaere. "On the equality between two diametral dimensions." Funct. Approx. Comment. Math. 56 (1) 95 - 107, March 2017.


Published: March 2017
First available in Project Euclid: 27 January 2017

zbMATH: 06864148
MathSciNet: MR3629013
Digital Object Identifier: 10.7169/facm/1594

Primary: 46A63
Secondary: 46A11 , 46A45

Keywords: Diametral Dimension , Köthe sequence spaces , Schwartz spaces

Rights: Copyright © 2017 Adam Mickiewicz University

Vol.56 • No. 1 • March 2017
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