Advertisement

Moore-Penrose Inverses and Singular Values

  • Albrecht Böttcher
  • Bernd Silbermann
Chapter
  • 600 Downloads
Part of the Universitext book series (UTX)

Abstract

Let H be a Hilbert space and let A be a bounded linear operator on H. Then sp A*A ⊂[0,∞), and the non-negative square roots of the numbers in sp A*A are called the singular values of A. The set of the singular values of A will be denoted byΣ(A),
$$ \sum {\left( A \right)} : = \left\{ {s \in \left[ {\left. {0,\infty } \right):{s^2} \in sp{A^*}A} \right.} \right\}. $$
(4.1)

Keywords

Hilbert Space Toeplitz Operator Strong Limit Toeplitz Matrix Partial Limit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Albrecht Böttcher
    • 1
  • Bernd Silbermann
    • 1
  1. 1.Fakultät für MathematikTechnische Universität ChemnitzChemnitzGermany

Personalised recommendations