Functions, Transformations, Operators

  • A. V. Balakrishnan


This chapter presents the core of operator theory essential to our purposes. Thus much standard material has had to be omitted and more specialized topics included, as for example the theory of Hilbert-Schmidt and Nuclear and Volterra operators, whereas the spectral representation theory of self adjoint operators has been limited to compact operators. Examples illustrating the theory are included as often as possible.


Hilbert Space Operator Mapping Cauchy Sequence Adjoint Operator Separable Hilbert Space 
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Copyright information

© Springer-Verlag New York Inc. 1981

Authors and Affiliations

  • A. V. Balakrishnan
    • 1
  1. 1.Systems Science DepartmentUniversity of CaliforniaLos AngelesUSA

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