ON THE DEFECT INDICES OF LINEAR OPERATORS IN BANACH SPACE AND ON SOME GEOMETRIC QUESTIONS

Abstract

The authors show that the theory of defect indices of Hermitian operators in a Hilbert space can be extended to the case of linear operators in a Banach space. For this purpose they use the idea of aperture (gap) of two sub-spaces with whose help it is convenient to establish in many cases the equality of the dimensions of the subspaces of the Banach space. The authors also arrive at several geometric conjectures.

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Document Details

Document Type
Technical Report
Publication Date
Aug 10, 1967
Accession Number
AD0663073

Entities

People

  • D. P. Milman
  • M. A. Krasnoselskii
  • M. G. Krein

Organizations

  • Johns Hopkins University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Banach Space
  • Equations
  • Functional Analysis
  • Geometry
  • Hilbert Space
  • Inequalities
  • Intervals
  • Mathematical Analysis
  • Mathematics
  • Reflection
  • Sequences
  • Spectra
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Linear Algebra

Technology Areas

  • Space