Results 21 to 30 of about 579,350 (178)
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 structure theorem for the polars of unitarily invariant norms [PDF]
Proceedings of the American Mathematical Society, 1985 The unitarily invariant norms of matrices, or operators, are essentially the symmetric norms of their singular values. A subclass of these norms depending upon only a few largest of the singular values is considered, and the polars of these norms are characterized. The result is then used to obtain generalizations of some well-known inequalities.
Mudholkar, Govind S., Freimer, Marshall
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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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Norm inequalities related to the Heinz means
Journal of Inequalities and Applications, 2018 Let (I,|||⋅|||) $(I,|\!|\!|\cdot|\!|\!|)$ be a two-sided ideal of operators equipped with a unitarily invariant norm |||⋅||| $|\!|\!| \cdot|\!|\!|$. We generalize the results of Kapil’s, using a new contractive map in I to obtain a norm inequality.
Fugen Gao, Xuedi Ma
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New proofs on two recent inequalities for unitarily invariant norms
Journal of Inequalities and Applications, 2020 In this short note, we provide alternative proofs for several recent results due to Audenaert (Oper. Matrices 9:475–479, 2015) and Zou (J. Math. Inequal. 10:1119–1122, 2016; Linear Algebra Appl. 552:154–162, 2019).
Junjian Yang, Linzhang Lu
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Another unitarily invariant norm attaining the minimum norm bound for commutators [PDF]
, 2010 Böttcher and Wenzel recently proved that for any unitarily invariant norm ‖·‖, sup‖XY-YX‖‖X‖‖Y‖:XandYaren×nnon-zero complex matrices=C⩾2 and that C=2 when the norm is the Frobenius norm.
Lok, Io-Kei +5 more
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A note on the arithmetic-geometric mean inequality for every unitarily invariant matrix norm [PDF]
, 1994 We integrate ten unitarily invariant matrix norm inequalities equivalent to the Heinz ...
Furuta, Takayuki
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