Results 41 to 50 of about 581 (209)
Norm inequalities involving a special class of functions for sector matrices
Journal of Inequalities and Applications, 2020 In this paper, we present some unitarily invariant norm inequalities for sector matrices involving a special class of functions. In particular, if Z = ( Z 11 Z 12 Z 21 Z 22 ) is a 2 n × 2 n $2n\times 2n$ matrix such that numerical range of Z is contained
Davood Afraz +2 more
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Journal of Inequalities and Applications, 2020 In this article, we show unitarily invariant norm inequalities for sector 2 × 2 $2\times 2$ block matrices which extend and refine some recent results of Bourahli, Hirzallah, and Kittaneh (Positivity, 2020, https://doi.org/10.1007/s11117-020-00770-w ).
Xiaoying Zhou
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Some inequalities related to 2 × 2 $2\times 2$ block sector partial transpose matrices
Journal of Inequalities and Applications, 2020 In this article, two inequalities related to 2 × 2 $2\times 2$ block sector partial transpose matrices are proved, and we also present a unitarily invariant norm inequality for the Hua matrix which is sharper than an existing result.
Junjian Yang, Linzhang Lu, Zhen Chen
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A generalized Hölder-type inequalities for measurable operators
Journal of Inequalities and Applications, 2020 We prove a generalized Hölder-type inequality for measurable operators associated with a semi-finite von Neumann algebra which is a generalization of the result shown by Bekjan (Positivity 21:113–126, 2017).
Yazhou Han, Jingjing Shao
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Inequalities for partial determinants of accretive block matrices
Journal of Inequalities and Applications, 2023 Let A = [ A i , j ] i , j = 1 m ∈ M m ( M n ) $A=[A_{i,j}]^{m}_{i,j=1}\in \mathbf{M}_{m}(\mathbf{M}_{n})$ be an accretive block matrix. We write det1 and det2 for the first and second partial determinants, respectively.
Xiaohui Fu +2 more
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Isometries for unitarily invariant norms
Linear Algebra and its Applications, 2005 After a brief survey of results and proof techniques in the study of isometries for unitarily invariant norms on real and complex rectangular matrices, the paper presents a characterization of a class of linear isometries without the linearity assumption.
Chan, JT, Sze, NS, Li, CK
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Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices
Abstract and Applied Analysis, 2015 Circulant, block circulant-type matrices and operator norms have become effective tools in solving networked systems. In this paper, the block imaginary circulant operator matrices are discussed.
Xiaoyu Jiang, Kicheon Hong
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The interpolation of Young’s inequality using dyadics
Journal of Inequalities and Applications, 2019 In this article we interpolate Young’s inequality using a delicate treatment of dyadics. Although there are other simple methods to prove these results, we present this new approach hoping to reveal more of the hidden properties of such inequalities.
Mohammad Sababheh, Abdelrahman Yousef
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Consistency of the total least squares estimator in the linear errors-in-variables regression
Modern Stochastics: Theory and Applications, 2018 This paper deals with a homoskedastic errors-in-variables linear regression model and properties of the total least squares (TLS) estimator. We partly revise the consistency results for the TLS estimator previously obtained by the author [18]. We present
Sergiy Shklyar
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Monotonicity of unitarily invariant norms
Linear Algebra and its Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Xue-Feng, Li, Ren-Cang
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