Algebras of operator sequences

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


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 \({\mathcal{L}}(X)\).


Banach Algebra Singular Integral Operator Operator Sequence Closed Ideal Quotient Algebra 
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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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