An operator extension of Bohr's inequality

Details An operator extension of Bohr's inequality An operator extension of Bohr's inequality

2008-12-04

arxiv.org/abs/0812.0886v1

Bull. Iranian Math. Soc. 35 (2009), no. 2, 67-74

Mathematics

Operator Algebras

7 Pages, to appear in Bull. Iranian Math. Soc

Scientific paper

We establish an operator extension of the following generalization of Bohr's inequality, due to M.P. Vasi\'c and D.J. Ke\v{c}ki\'{c}: $$|\sum_{i=1}^n z_i|^r \leq (\sum_{i=1}^n \alpha_i^{1/(1-r)})^{r-1}\sum_{i=1}^n \alpha_i|z_i|^r \quad (r>1, z_i \in{\mathbb C}, \alpha_i>0, 1 \leq i \leq n) .$$ We also present some norm inequalities related to our noncommutative generalization of Bohr's inequality.

Affiliated with

Also associated with

No associations

Rating

An operator extension of Bohr's inequality does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An operator extension of Bohr's inequality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An operator extension of Bohr's inequality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-135674