Abstract
In this introductory chapter we recall some fundamental facts concerning bounded selfadjoint operators on complex Hilbert spaces. Since all the operators considered in this book are supposed to be bounded, we no longer mention this but understand it implicitly.
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References
T. Furuta, J. Mićić, J. Pečarić and Y. Seo, Mond-Pečarić Method in Operator Inequalities. Inequalities for Bounded Selfadjoint Operators on a Hilbert Space, Element, Zagreb, 2005.
G. Helmberg, Introduction to Spectral Theory in Hilbert Space, John Wiley & Sons, Inc., New York, 1969.
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© 2012 Silvestru Sever Dragomir
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Dragomir, S.S. (2012). Functions of Selfadjoint Operators on Hilbert Spaces. In: Operator Inequalities of the Jensen, Čebyšev and Grüss Type. SpringerBriefs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1521-3_1
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DOI: https://doi.org/10.1007/978-1-4614-1521-3_1
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Print ISBN: 978-1-4614-1520-6
Online ISBN: 978-1-4614-1521-3
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