A REMARK ON ORTHONORMAL BASES OF CONTINUOUS FUNCTIONS IN A HILBERT SPACE

Abstract

It is shown that an orthonormal set of continuous functions on a finite interval can always be completed by the addition of continuous functions if it is a finite set but cannot always be so completed if it is an infinite set.

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Document Details

Document Type
Technical Report
Publication Date
May 12, 1964
Accession Number
AD0600534

Entities

People

  • T. S. Pitcher

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Contracts
  • Discontinuities
  • Hilbert Space
  • Intervals
  • Massachusetts
  • Mathematics
  • Sequences

Readers

  • Approximation Theory.

Technology Areas

  • Space