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Some remarks on spaces of almost periodic functions

Stoiński S.

Fasciculi Mathematici

2001

Nr 31

105-115

In this note we present remarks on completeness of spaces of almost periodic functions of various types and some theorems on connection between almost periodicity of the derivative and the indefinite integral of the function and almost periodicity of the function.

Descriptive properties of spaces of measures

Holicky P., Kalenda O.

Bulletin of the Polish Academy of Sciences. Mathematics

1999

Vol. 47, no 1

37-51

The spaces of Borel probabilities on a topological space X inherit a number of topological properties of X. We show in particular that the space of tight probabilities on a Cech-analytic space is Cech-analytic. Analogical results are shown for several other classes of generalized analytic and complete topological spaces.