Positive Operators on the n-Dimensional Ice-Cream Cone.

Abstract

MATICS RESEARCH CENTERPositive Operators on the n-Dimensional Ice-Cream Cone.Technical summary rept.,Loewy,Raphael ;Schneider,Hans ;MRC-TSR-1346DA-31-124-ARO(D)-462*Conical bodies, *Operators(Mathematics), Matrices(Mathematics), Vector spaces, Set theory, Theorems*Ice cream conesLet (K sub n) = (x epsilon (R sub n): ((x sub 1)squared + ... +(x sub (n-1))squared) to the 1/2 power = or < (x sub n) be the n-dimensional ice-cream cone, and let Gamma(K sub n) be the cone of all matrices in (R sup nn) mapping (K sub n) into itself. The authors determine the structure of Gamma(K sub n), and in particular characterize the extreme matrices in Gamma(K sub n). (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1973
Accession Number
AD0770706

Entities

People

  • Hans Schneider
  • Raphael Loewy

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Algebra
  • Bodies
  • Boolean Algebra
  • Conical Bodies
  • Geometry
  • Mathematical Analysis
  • Mathematical Logic
  • Mathematics
  • Set Theory
  • Theorems
  • Vector Spaces

Readers

  • Linear Algebra
  • Materials Science.

Technology Areas

  • Space