PROPERTIES OF COMPLETE ORTHONORMAL SYSTEMS ON MATRIX SPACES.

Abstract

In this paper properties of complete orthonormal systems on the domain D in the 2 x 2 and n x n cases were studied. The domain D is one of four main types of irreducible bounded symmetric domains given by E. Cartan. The discussion includes inequalities for polynomials on matrix spaces, equisummability of real complete orthonormal systems on the unitary group of order 2, and Harnack's theorems on matrix spaces.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1962
Accession Number
AD0621239

Entities

People

  • Shih-hsiung Tung

Organizations

  • Pennsylvania State University

Tags

DTIC Thesaurus Topics

  • Inequalities
  • Polynomials

Fields of Study

  • Mathematics

Readers

  • Linear Algebra

Technology Areas

  • Space