Some Questions of Heinrich on Ultrapowers of Locally Convex Spaces

DOI10.1002/MANA.19931610120zbMath0796.46050OpenAlexW2106665738MaRDI QIDQ4295298

Antonio Galbis, Alfred Peris Manguillot

Publication date: 9 June 1994

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19931610120

zbMATH Keywords

Fréchet spacessuperreflexivity\((DF)\)-spacesultrapowers of locally convex spacescoincidence of the full and the bounded ultrapowercommutativity of strict inductive limits and ultrapowersexample of a Fréchet-Schwartz space which is not the projective limit of a sequence of superreflexive Banach spaceslocalization of bounded sets in the full ultrapower of a locally convex space

Mathematics Subject Classification ID

Ultraproduct techniques in Banach space theory (46B08) Ultraproducts in functional analysis (46M07) Nonstandard functional analysis (46S20)

Related Items (1)

Compact Sets of Holomorphic Mappings

Cites Work

• Dual density conditions in (DF)-spaces. I
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