Topological algebras with pseudoconvexly bounded elements

• Autorzy: Mati Abel
• Języki publikacji: EN

Abstrakty

EN

It is shown that every commutative sequentially bornologically complete Hausdorff algebra A with bounded elements is representable in the form of an (algebraic) inductive limit of an inductive system of locally bounded Fréchet algebras with continuous monomorphisms if the von Neumann bornology of A is pseudoconvex. Several classes of topological algebras A for which $r_A(a) ≤ β_A(a)$ or $r_A(a) = β_A(a)$ for each a ∈ A are described.

Kategorie tematyczne

• 46H20: Structure, classification of topological algebras
• 46H05: General theory of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 67
• Numer: 1
• Strony: 21-33

Daty

wydano

2005

Twórcy

autor

Mati Abel

• Institute of Pure Mathematics, University of Tartu, 2 Liivi St., Room 614, 50409 Tartu, Estonia

Identyfikatory

DOI

10.4064/bc67-0-2