Functiones et Approximatio Commentarii Mathematici
- Funct. Approx. Comment. Math.
- Volume 44, Number 2 (2011), 227-242.
Bornological projective limits of inductive limits of normed spaces
We establish a criterion to decide when a countable projective limit of countable inductive limits of normed spaces is bornological. We compare the conditions occurring within our criterion with well-known abstract conditions from the context of homological algebra and with conditions arising within the investigation of weighted PLB-spaces of continuous functions.
Funct. Approx. Comment. Math., Volume 44, Number 2 (2011), 227-242.
First available in Project Euclid: 22 June 2011
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 46A13: Spaces defined by inductive or projective limits (LB, LF, etc.) [See also 46M40]
Secondary: 46A03: General theory of locally convex spaces 46A04: Locally convex Fréchet spaces and (DF)-spaces 46A08: Barrelled spaces, bornological spaces 46E10: Topological linear spaces of continuous, differentiable or analytic functions 46M40: Inductive and projective limits [See also 46A13]
Bonet, Josè; Wegner, Sven-Ake. Bornological projective limits of inductive limits of normed spaces. Funct. Approx. Comment. Math. 44 (2011), no. 2, 227--242. doi:10.7169/facm/1308749126. https://projecteuclid.org/euclid.facm/1308749126