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Background for Functions of Selfadjoint Operators

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Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Abstract

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.

Keywords

  • Hilbert Space
  • Selfadjoint Operator
  • Semicontinuous Function
  • Complex Hilbert Space
  • Order Preserve

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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  • DOI: 10.1007/978-1-4614-1779-8_1
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References

  1. G. Helmberg, Introduction to Spectral Theory in Hilbert Space, John Wiley & Sons, Inc., New York, 1969.

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Correspondence to Slivestru Sever Dragomir .

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© 2012 Springer Science+Business Media, LLC

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Dragomir, S.S. (2012). Background for Functions of Selfadjoint Operators. In: Operator Inequalities of Ostrowski and Trapezoidal Type. SpringerBriefs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1779-8_1

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