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Bessel-type inequalities in Hilbert C *-modules |
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| Authors: | SS Dragomir M Khosravi |
| Institution: | 1. Research Group in Mathematical Inequalities and Applications, School of Engineering &2. Science , Victoria University , P. O. Box 14428, Melbourne, VIC 8001, Australia;3. Department of Mathematics , Tehran Teacher Training University , P. O. Box 15618, Tehran, Iran;4. Banach Mathematical Research Group (BMRG) , Mashhad, Iran |
| Abstract: | Regarding the generalizations of the Bessel inequality in Hilbert spaces which are due to Bombieri and Boas–Bellman, we obtain a version of the Bessel inequality and some generalizations of this inequality in the framework of Hilbert C *-modules. |
| Keywords: | Bessel inequality Boas–Bellman inequality Hilbert C *-module C *-algebra |