Generalizations of Bohr's inequality in Hilbert $C^*$-modules

Details Generalizations of Bohr's inequality in Hilbert $C^*$-modules Generalizations of Bohr's inequality in Hilbert $C^*$-modules

2009-05-21

arxiv.org/abs/0905.3507v1

Linear Multilinear Algebra 58 (2010), no. 3, 323-331

Mathematics

Operator Algebras

11 pages, to appear in Linear Multilinear Algebra

Scientific paper

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. Pecaric and F. Zhang.

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