TY - JOUR
T1 - Fréchet Algebras Generated by Certain of their Elements
AU - Ouzomgi, S.
AU - Redlin, L.
AU - Watson, S.
PY - 1995
Y1 - 1995
N2 - We consider F-algebras A that are generated by elements of the form z, (z – λ1e)-1⋯, (z – λNe)-1, where e is the identity. If A has no topological divisors of zero we show that A is isomorphic to H(Ω), where Ω is a finitely connected region. We also study F-algebras in which {e, z, z-1, z2, z-2,…} is a basis.
AB - We consider F-algebras A that are generated by elements of the form z, (z – λ1e)-1⋯, (z – λNe)-1, where e is the identity. If A has no topological divisors of zero we show that A is isomorphic to H(Ω), where Ω is a finitely connected region. We also study F-algebras in which {e, z, z-1, z2, z-2,…} is a basis.
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U2 - 10.1155/S0161171295000627
DO - 10.1155/S0161171295000627
M3 - Article
AN - SCOPUS:84958299777
SN - 0161-1712
VL - 18
SP - 489
EP - 495
JO - International Journal of Mathematics and Mathematical Sciences
JF - International Journal of Mathematics and Mathematical Sciences
IS - 3
ER -