On Certain Finite Dimensional Numerical Ranges and Numerical Radii.

Abstract

This expository solicited paper consists of two parts: The first discusses properties of the classical numerical range and the corresponding numerical radius; the second is devoted to C-ranges and C-radii which are generalizations of the classical concepts. Although the ranges and radii treated here are associated with finite dimensional complex matrices, many of the mentioned results hold for linear operators on arbitrary Hilbert spaces as well. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1978
Accession Number
ADA062696

Entities

People

  • Moshe Goldberg

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algebra
  • California
  • Convex Sets
  • Hilbert Space
  • Inclusions
  • Inequalities
  • Mathematics
  • New York
  • Numerical Analysis
  • Permutations
  • Polynomials
  • Recognition
  • Scientific Research
  • Theorems
  • Universities

Fields of Study

  • Mathematics

Readers

  • Library and Information Science
  • Linear Algebra

Technology Areas

  • Space