Functiones et Approximatio Commentarii Mathematici

On the equality between two diametral dimensions

Françoise Bastin and Loïc Demeulenaere

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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.

Article information

Funct. Approx. Comment. Math., Volume 56, Number 1 (2017), 95-107.

First available in Project Euclid: 27 January 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 46A63: Topological invariants ((DN), ($\Omega$), etc.)
Secondary: 46A11: Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) 46A45: Sequence spaces (including Köthe sequence spaces) [See also 46B45]

diametral dimension Schwartz spaces Köthe sequence spaces


Bastin, Françoise; Demeulenaere, Loïc. On the equality between two diametral dimensions. Funct. Approx. Comment. Math. 56 (2017), no. 1, 95--107. doi:10.7169/facm/1594.

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