Page 1 Next

Displaying 1 – 20 of 37

Showing per page

Fréchet algebras and formal power series

Graham Allan (1996)

Studia Mathematica

The class of elements of locally finite closed descent in a commutative Fréchet algebra is introduced. Using this notion, those commutative Fréchet algebras in which the algebra ℂ[[X]] may be embedded are completely characterized, and some applications to the theory of automatic continuity are given.

Fréchet algebras, formal power series, and automatic continuity

S. R. Patel (2008)

Studia Mathematica

We describe all those commutative Fréchet algebras which may be continuously embedded in the algebra ℂ[[X]] in such a way that they contain the polynomials. It is shown that these algebras (except ℂ[[X]] itself) always satisfy a certain equicontinuity condition due to Loy. Using this result, some applications to the theory of automatic continuity are given; in particular, the uniqueness of the Fréchet algebra topology for such algebras is established.

Currently displaying 1 – 20 of 37

Page 1 Next