Spectral Theory I: generalities, abstract C*-algebras and operators in B(H)

  • Valter Moretti
Part of the UNITEXT book series (UNITEXT)


In this purely mathematically-flavoured chapter we introduce the basic spectral theory for operators on normed spaces, up to the notion of spectral measure and the spectral decomposition theorem for normal operators in B(H), with H a Hilbert space. (The spectral theorem for unbounded self-adjoint operators will be discussed in the next chapter.) Here we present a number of general result in the abstract theory of C*-algebras and *-homomorphisms.

Copyright information

© Springer-Verlag Italia 2013

Authors and Affiliations

  • Valter Moretti
    • 1
  1. 1.Department of MathematicsUniversity of TrentoItaly

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