#### Mohammed Ali, Mohammed Al-Dolat, Doaa Obeidat, General norm inequalities for bounded linear operators in Hilber spaces, Vol. 2017 (2017), Article ID 20, pp. 1-6

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DOI: 10.23952/cot.2017.20

Received September 19, 2016; Accepted March 22, 2017; Published April 10, 2017

Abstrat. Let $B(H)$ be the space of $C^*$-algebra of all bounded linear operators on a complex Hilbert space $H$. The norm of the sum of bounded linear operators on $H$ has been attracted the attentions of many mathematicians for along time. In this work, we study the upper bound of the sum of operators belong in $B(H)$ under the usual operator norm given by $\|A\|=\sup_{\|x\|=1}; x\in H$. Moreover, we establish and generalize inequalities for the operator norm of sums of bounded linear operators in Hilbert spaces.