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Baire measurable solutions of a generalized Gołąb–Schinzel equation

100%

Jabłońska E.

Commentationes Mathematicae

2010

tom 50

nr 1

J. Brzdęk [1] characterized Baire measurable solutions \(f\colon X \to K\) of the functional equation \[ f (x + f (x)^n y) = f (x)f (y) \] under the assumption that \(X\) is a Fréchet space over the field \(K\) of real or complex numbers and \(n\) is a positive integer. We prove that his result holds even if \(X\) is a linear topological space over \(K\); i.e. completeness and metrizability are not necessary.

Convergent Filter Bases

75%

Coghetto R.

Formalized Mathematics

2015

tom 23

nr 3

189-203

We are inspired by the work of Henri Cartan [16], Bourbaki [10] (TG. I Filtres) and Claude Wagschal [34]. We define the base of filter, image filter, convergent filter bases, limit filter and the filter base of tails (fr: filtre des sections).

Ograniczanie wyników

1 Commentationes Mathematicae

1 Formalized Mathematics

1 Coghetto R.

1 Jabłońska E.

1 2015

1 2010

Wyniki wyszukiwania

Baire measurable solutions of a generalized Gołąb–Schinzel equation

Convergent Filter Bases