PORTUGALIAE MATHEMATICA Vol. 63, No. 1, pp. 91100 (2006) 

Real GelfandMazur algebrasOlga PanovaInstitute of Pure Mathematics, University of Tartu,2 Liivi Str., room 613, 50409 Tartu  ESTONIA Email: olpanova@math.ut.ee Abstract: Several classes of real GelfandMazur algebras are described. Conditions, when the trace $M\cap B$ of a closed maximal left (right) ideal $M$ of a real topological algebra $A$ would be a maximal ideal in a subalgebra $B$ of the center of $A$ are given. Keywords: real topological algebra; real GelfandMazur algebra; real exponentially galbed algebra; real locally pseudoconvex algebra; real locally $A$pseudoconvex algebra; real locally $m$pseudoconvex algebra; traces of maximal ideals. Classification (MSC2000): 46H05.; 46H20. Full text of the article:
Electronic version published on: 7 Mar 2008.
© 2006 Sociedade Portuguesa de Matemática
