• Pere Ara
  • Martin Mathieu
Part of the Springer Monographs in Mathematics book series (SMM)


Functional Analysis, in its most fundamental and linear form, is the study of operators on infinite dimensional linear spaces. In his 1920 thesis and then, in a more comprehensive version, in his 1932 treatise, Banach, building on the work of many others, devised a beautiful framework for this endeavour. Soon Banach spaces became an established concept, and Functional Analysis quickly evolved into one of the cornerstones of 20th century mathematics


Elementary Operator Semiprime Ring Jordan Derivation Central Closure Infinite Dimensional Hilbert Space 
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Copyright information

© Springer-Verlag London 2003

Authors and Affiliations

  • Pere Ara
    • 1
  • Martin Mathieu
    • 2
  1. 1.Departament de MatemàtiquesUniversitat Autónorna de BarcelonaBellaterraSpain
  2. 2.Department of Pure Mathematics School of Mathematics and PhysicsQueen’s University BelfastBelfastNorthern Ireland

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