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Publikováno v:
J. Convex Anal. 29 (2022), no.4, 1149-1160
In this paper, we introduce a new semi-norm of operators on a semi-Hilbertian space, which generalizes the A-numerical radius and A-operator semi-norm. We study the basic properties of this semi-norm, including upper and lower bounds for it. As an ap
Externí odkaz:
http://arxiv.org/abs/2107.09431
Publikováno v:
Math. Slovaca 72 (2022) no.4, 969-976
We give new inequalities for $A$-operator seminorm and $A$-numerical radius of semi-Hilbertian space operators and show that the inequalities obtained here generalize and improve on the existing ones. Considering a complex Hilbert space $\mathcal{H}$
Externí odkaz:
http://arxiv.org/abs/2010.15046
Publikováno v:
Results Math.76 (2021), no.3, Paper No. 120, 10 pp
Let $\mathcal{H}$ be a complex Hilbert space and let $A$ be a positive operator on $\mathcal{H}$. We obtain new bounds for the $A$-numerical radius of operators in semi-Hilbertian space $\mathcal{B}_A(\mathcal{H})$ that generalize and improve on the
Externí odkaz:
http://arxiv.org/abs/2008.10840
Publikováno v:
Electron. J. Linear Algebra 36 (2020), 143-157
Let $A$ be a positive operator on a complex Hilbert space $\mathcal{H}.$ We present inequalities concerning upper and lower bounds for $A$-numerical radius of operators, which improve on and generalize the existing ones, studied recently in [A. Zaman
Externí odkaz:
http://arxiv.org/abs/1908.11182
Autor:
Nikzat Elham, Omidvar Mohsen Erfanian
Publikováno v:
Concrete Operators, Vol 9, Iss 1, Pp 70-74 (2022)
In this paper, we improve some numerical radius inequalities for Hilbert space operators under suitable condition. We also compare our results with some known results. As application of our result, we obtain an operator inequality.
Externí odkaz:
https://doaj.org/article/60e398ffa6ea4af3a7617baec988a2bd
Let $$\mathcal {H}$$ be a complex Hilbert space and let A be a positive operator on $$\mathcal {H}$$ . We obtain new bounds for the A-numerical radius of operators in semi-Hilbertian space $$\mathcal {B}_A(\mathcal {H})$$ that generalize and improve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4edfa66761f83ed0d15f8942886f7a56
Let 𝓗 be a complex Hilbert space and A be a non-zero positive bounded linear operator on 𝓗. The main aim of this paper is to discuss a general method to develop A-operator seminorm and A-numerical radius inequalities of semi-Hilbertian space op
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f2cf862c98f726cfa789c0da7330fc9