AN EXTENSION OF ASCOLI'S THEOREM AND ITS APPLICATIONS TO THE THEORY OF OPTIMAL CONTROL

Abstract

Ascoli's t orem deals with continuous functions and states that the space of bounded, equi-continuous functions is compact. The present paper extends it to the measurable functions. Both the space of bounded qui-measurable functions, and its product with the space of bounded equicontinuous func ions re compact. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1962
Accession Number
AD0275989

Entities

People

  • S.s.l. Chang

Organizations

  • Air Force Research Laboratory

Tags

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space