Background for Functions of Selfadjoint Operators

  • Slivestru Sever Dragomir
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)


In this introductory chapter we recall some fundamental facts concerning bounded selfadjoint operators on complex Hilbert spaces. As all the operators considered in this book are supposed to be bounded, we no longer mention this but understand it implicitly.


Hilbert Space Selfadjoint Operator Semicontinuous Function Complex Hilbert Space Order Preserve 
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  1. 1.
    G. Helmberg, Introduction to Spectral Theory in Hilbert Space, John Wiley & Sons, Inc., New York, 1969.Google Scholar

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© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.School of Engineering and ScienceVictoria UniversityMelbourneAustralia
  2. 2.School of Computational and Applied MathematicsUniversity of the WitwatersrandJohannesburgSouth Africa

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