Topological algebras with pseudoconvexly bounded elements

Mati Abel

Mati Abel

Banach Center Publications, Tome 68 (2005), p. 21-33 / Harvested from The Polish Digital Mathematics Library

Résumé

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 $r_{A} (a) \leq β_{A} (a)$ or $r_{A} (a) = β_{A} (a)$ for each a ∈ A are described.

Publié le : 2005-01-01

Zbl 1091.46026

EUDML-ID : urn:eudml:doc:281651

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     author = {Mati Abel},
     title = {Topological algebras with pseudoconvexly bounded elements},
     journal = {Banach Center Publications},
     volume = {68},
     year = {2005},
     pages = {21-33},
     zbl = {1091.46026},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-2}
}

Mati Abel. Topological algebras with pseudoconvexly bounded elements. Banach Center Publications, Tome 68 (2005) pp. 21-33. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-2/