Generalizations of Bohr's inequality in Hilbert C*-modules |
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| Authors: | Mohammad Sal Moslehian Rajna Rajić |
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| Institution: | 1. Department of Pure Mathematics , Ferdowsi University of Mashhad , Mashhad, Iran;2. Center of Excellence in Analysis on Algebraic Structures (CEAAS) , Ferdowsi University of Mashhad , Iran moslehian@ferdowsi.um.ac.ir;4. Faculty of Mining, Geology and Petroleum Engineering , University of Zagreb , Zagreb, Croatia |
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| Abstract: | We present a new operator equality in the framework of Hilbert C*-modules. As a consequence, we get an extension of the Euler–Lagrange type identity in the setting of Hilbert bundles as well as several generalized operator Bohr's inequalities due to O. Hirzallah, W.-S. Cheung, J.E. Pe?ari? and F. Zhang. |
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| Keywords: | Bohr's inequality operator inequality positive operator Hilbert C*-module C*-algebra Hilbert bundle |
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