creative_2024_33_1_105_117In this paper several tensorial norm inequalities for continuous functions of selfadjoint operators in Hilbert spaces have been obtained. Multiple inequalities of the form
![\[\bigg|\bigg|\frac{1}{3}\left(2\operatorname{exp}\left(A\right)\otimes 1-\operatorname{exp}\left(\frac{A\otimes 1 +1\otimes B}{2}\right)+2\cdot 1\otimes \operatorname{exp}\left(B\right)\right)\]](https://www.creative-mathematics.cunbm.utcluj.ro/wp-content/ql-cache/quicklatex.com-76856b54d6478e7262561d9e0ab0ee9b_l3.png "Rendered by QuickLaTeX.com")
![\[-(1\otimes B-A\otimes 1)^{-1}\times\bigg(\operatorname{exp}(1\otimes B)-\operatorname{exp}(A\otimes 1)\bigg)\bigg|\bigg|\]](https://www.creative-mathematics.cunbm.utcluj.ro/wp-content/ql-cache/quicklatex.com-4735527ad5f2ac1123b3da63217abae3_l3.png "Rendered by QuickLaTeX.com")
![\[\leqslant \norm{1\otimes B-A\otimes 1}\frac{5}{12}\operatorname{exp}(M)\]](https://www.creative-mathematics.cunbm.utcluj.ro/wp-content/ql-cache/quicklatex.com-3e3c802341753f3e48889fad7d3ce0b0_l3.png "Rendered by QuickLaTeX.com")
are obtained with variations due to the convexity properties of the mapping 
.
| Author(s) | Stojiljković, Vuk |
|---|
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