Regular spectrum of elements in topological algebras

Mati Abel

doi:10.15352/aot.1803-1334

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Home > Journals > Adv. Oper. Theory > Volume 3 > Issue 4 > Article

Autumn 2018 Regular spectrum of elements in topological algebras

Mati Abel

Adv. Oper. Theory 3(4): 837-854 (Autumn 2018). DOI: 10.15352/aot.1803-1334

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Abstract

‎‎‎Main properties of the regular (or extended) spectrum of elements in topological algebras (introduced by L‎. ‎Waelbroeck and G‎. ‎R‎. ‎Allan for unital locally convex algebras) are presented‎. ‎Descriptions of the relationship between the usual spectrum and the regular spectrum of elements in topological algebras with jointly continuous multiplication are given‎. ‎It is shown that the usual spectrum and the regular spectrum of elements coincide for Hausdorff locally convex Waelbroeck algebras‎. ‎Main properties of the disolvent map of elements in topological algebras are studied‎.

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Mati Abel. "Regular spectrum of elements in topological algebras." Adv. Oper. Theory 3 (4) 837 - 854, Autumn 2018. https://doi.org/10.15352/aot.1803-1334