Displaying similar documents to “On inverse-closed algebras of infinitely differentiable functions”

Concerning entire functions in B 0 -algebras

W. Żelazko (1994)

Studia Mathematica

Similarity:

We construct a non-m-convex non-commutative B 0 -algebra on which all entire functions operate. Our example is also a Q-algebra and a radical algebra. It follows that some results true in the commutative case fail in general.

Discontinuity of the product in multiplier algebras.

Mohamed Oudadess (1990)

Publicacions Matemàtiques

Similarity:

Entire functions operate in complete locally A-convex algebras but not continuously. Actually squaring is not always continuous. The counterexample we give is multiplier algebra.