Multiplicative Functionals on Frechet Algebras with Bases Academic Article uri icon

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abstract

  • Let A denote a complex (or real) Fréchet algebra (i.e. a complete metrizable locally m-convex algebra, see [2] or [3]). It is known [2] that the topology of such an algebra can be defined by an increasing sequence [qn] (i.e. qn(x)qn+i(x) for all x £ A and n ≧ 1) of submultiplicative (i.e. qn(xy)qn(x)qn(y) for all x, 3/ Ç ^4 and for each n ≧ I) seminorms.

publication date

  • April 1, 1977