Advertisement

Abstract

Let T be a linear operator whose domain D (T) and range R (T) both lie in the same complex linear topological space X. We consider the linear operator
$${T_{\lambda }} = \lambda I - T,$$
where λ is a complex number and I the identity operator. The distribution of the values of λ for which T λ has an inverse and the properties of the inverse when it exists, are called the spectral theory for the operator T. We shall thus discuss the general theory of the inverse of T λ .

Keywords

Linear Operator Spectral Radius Ergodic Theorem Continuous Linear Operator Operational Calculus 
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-Verlag Berlin Heidelberg 1974

Authors and Affiliations

  • Kôsaku Yosida
    • 1
  1. 1.Gakushuin UniversityTokyoJapan

Personalised recommendations