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A note on the primitive function of a Bohr almost periodic function

100%

Stoiński S.

Commentationes Mathematicae

2011

tom 51

nr 1

In this article we prove a sufficient condition for the primitive function of a uniformly almost periodic function to be Bohr almost periodic.

Jacobi operator for leaf geodesics

100%

Walczak P. G.

Colloquium Mathematicum

1993

tom 65

nr 2

213-226

Derivability, variation and range of a vector measure

88%

Rodríguez-Piazza L.

Studia Mathematica

1994-1995

tom 112

nr 2

165-187

We prove that the range of a vector measure determines the σ-finiteness of its variation and the derivability of the measure. Let F and G be two countably additive measures with values in a Banach space such that the closed convex hull of the range of F is a translate of the closed convex hull of the range of G; then F has a σ-finite variation if and only if G does, and F has a Bochner derivative with respect to its variation if and only if G does. This complements a result of [Ro] where we proved that the range of a measure determines its total variation. We also give a new proof of this fact.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Commentationes Mathematicae

1 Studia Mathematica

1 Rodríguez-Piazza L.

1 Stoiński S.

1 Walczak P. G.

1 2011

1 1995

1 1993

Wyniki wyszukiwania

A note on the primitive function of a Bohr almost periodic function

Jacobi operator for leaf geodesics

Derivability, variation and range of a vector measure