Topologically Invertible Elements and Topological Spectrum
Mati Abel ; Wiesław Żelazko
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006), p. 257-271 / Harvested from The Polish Digital Mathematics Library
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Properties of topologically invertible elements and the topological spectrum of elements in unital semitopological algebras are studied. It is shown that the inversion x↦x-1 is continuous in every invertive Fréchet algebra, and singly generated unital semitopological algebras have continuous characters if and only if the topological spectrum of the generator is non-empty. Several open problems are presented.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:280628 
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     title = {Topologically Invertible Elements and Topological Spectrum},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {54},
     year = {2006},
     pages = {257-271},
     zbl = {1114.46036},
     language = {en},
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Mati Abel; Wiesław Żelazko. Topologically Invertible Elements and Topological Spectrum. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) pp. 257-271. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-3-7/