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Algebras of operator sequences

  • Steffen Roch
  • Pedro A. Santos
  • Bernd Silbermann
Part of the Universitext book series (UTX)

Abstract

Now we change our topic and move from operator theory to numerical analysis. In this chapter, X is a Banach space (which will be separable and of infinite dimension in all actual settings that we consider), I is the identity operator on X, \({\mathcal{L}} (X)\) is the Banach algebra of all bounded linear operators on X, and \({\mathcal{K}}(X)\) is the ideal of the compact operators in \({\mathcal{L}}(X)\).

Keywords

Banach Algebra Singular Integral Operator Operator Sequence Closed Ideal Quotient Algebra 
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.

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  • Steffen Roch
    • 1
  • Pedro A. Santos
    • 2
  • Bernd Silbermann
    • 3
  1. 1.Fachbereich MathematikTechnische Universität DarmstadtDarmstadtGermany
  2. 2.Instituto Superior Técnico, Departamento de MatemáticaUniversidade Técnica de LisboaLisboaPortugal
  3. 3.Fakultät für MathematikTechnische Universität ChemnitzChemnitzGermany

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