Compositions of nuclear maps with vector measures and measurable functions

  • Rudolf G Venter

Abstract

The properties of the compositions of nuclear maps, between two locally convex spaces, with vector measures and measurable functions are investigated. The composition with a vector measure has improved variational properties and a precompact range. The measurability and integrability properties of the composition of a nuclear map with a measurable function are vastly improved. The properties of nuclear space-valued measures and measurable functions are also investigated.

Quaestiones Mathematicae 34(2011), 101–111

Author Biography

Rudolf G Venter
Department of Mathematics and Applied Mathematics, North-West University (Potchefstroom Campus), Private Bag X6001, Potchefstroom, 2520, South Africa
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606