Accession Number:

ADA046501

Title:

Projectors on Convex Sets in Reflexive Banach Spaces.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1977-07-01

Pagination or Media Count:

21.0

Abstract:

The projector on a convex set K in a reflexive Banach space X is the mapping PK assigning to each point x in the dual space X the set of points minimizing 12 absolute value x squared 12 absolute value x squared - x , x over K. Projectors are discussed and shown to enjoy most of the properties of nearest point mappings in Hilbert space. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE