Tauberian-like classes of operators

  • Manuel González
  • Antonio Martínez-Abejón
Part of the Operator Theory: Advances and Applications book series (OT, volume 194)


This chapter is concerned with some classes of operators that, as tauberian operators do, preserve isomorphic properties. It is convenient to introduce these classes axiomatically in order to systematize their study and understand their relationship with operator ideals. This is done in Section 6.1 by introducing the concept of operator semigroup. We describe some concrete examples and give some general constructions that provide operator semigroups.


Banach Space Operator Ideal Compact Operator Closed Subspace Dimensional Subspace 
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Copyright information

© Birkhäuser Verlag AG 2010

Authors and Affiliations

  • Manuel González
    • 1
  • Antonio Martínez-Abejón
    • 2
  1. 1.Departamento de Matemáticas, Estadística y ComputaciónUniversidad de CantabriaSantanderSpain
  2. 2.Departamento de MatemáticasUniversidad de OviedoOviedoSpain

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