English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Let ${\mathbb B}(\mathscr H)$ denote the set of all bounded linear operatorson a complex Hilbert space ${\mathscr H}$. In this paper, we present some norminequalities for sums of operators which are a generalization of some recentresults. Among other inequalities, it is shown that if $S, T\in {\mathbbB}({\mathscr H})$ are normal operators, then \begin{eqnarray*} \left\VertS+T\right\Vert \leq \frac{1}{2}(\left\Vert S\right\Vert+\left\VertT\right\Vert)+\frac{1}{2}\min_{t>0}\sqrt{ (\left\Vert S \right\Vert-\left\VertT\right\Vert)^2+ \left\Vert \frac{1}{t} f_1(\vert S \vert)g_1(\vertT\vert)+tf_2(\vert S \vert)g_2(\vert T\vert) \right\Vert^2}, \end{eqnarray*}where $f_1,f_2,g_1,g_2$ are non-negative continuous functions on $[0,\infty )$,in which $f_1(x)f_2(x)=x$ and $g_1(x)g_2(x)=x\,\,(x\geq 0)$. Moreover, it isshown several inequalities for the numerical radius.

Further norm and numerical radius inequalities for sum of Hilbert space operators