A non-Banach in-convex algebra all of whose closed commutative subalgebras are Banach algebras.

Tom 119 / 1996

W. Żelazko Studia Mathematica 119 (1996), 195-198 DOI: 10.4064/sm-119-2-195-198

Streszczenie

We construct two examples of complete multiplicatively convex algebras with the property that all their maximal commutative subalgebras and consequently all commutative closed subalgebras are Banach algebras. One of them is non-metrizable and the other is metrizable and non-Banach. This solves Problems 12-16 and 22-24 of [7].

Autorzy

  • W. Żelazko

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