BANACH FUNCTION SPACES OF VECTOR VALUED FUNCTIONS

Abstract

The study of Banach spaces is considered, the elem nts of which are classes of measurable functions defined on a locally compact Hausdorff space with values in a fixed Banach space. Th norms of the spaces tudied are expressed in terms of length functions defined for positive measurable functions. Certain properties of the length function and the range space of the vector valued functions are reflected in the Banach function space. A representation is established of the dual spaces of these Banach function spaces in certain cases. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1962
Accession Number
AD0283432

Entities

People

  • Robert Ryan

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Banach Space

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Mathematical Modeling and Probability Theory.
  • Snow Cover Descriptors for Reptiles and Their Illustrations.

Technology Areas

  • Space