Article ID Journal Published Year Pages File Type
4624002 Journal of Mathematical Analysis and Applications 2006 10 Pages PDF
Abstract

The classical Bohr's inequality states that|z+w|2⩽p|z|2+q|w|2|z+w|2⩽p|z|2+q|w|2 for all z,w∈Cz,w∈C and all p,q>1p,q>1 with 1p+1q=1. In this paper, Bohr's inequality is generalized to the context of Hilbert space operators for all positive conjugate exponents p,q∈Rp,q∈R. In particular, the parallelogram law is recovered and some other interesting operator inequalities and established.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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