Results 121 to 130 of about 13,431 (178)
Volume Ratio, Sparsity, and Minimaxity Under Unitarily Invariant Norms
IEEE Transactions on Information Theory, 2015 Zongming Ma, Yihong Wu
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A note on some inequalities for unitarily invariant norms
, 2015 J. Xue, Xingkai Hu
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Unitarily invariant norms on operators
Acta Scientiarum Mathematicarum, 2021 Let f be a symmetric norm on $$\mathbb {R}^n$$ R n and let $$\mathcal {B}(\mathcal {H})$$ B ( H ) be the set of all bounded linear operators on a Hilbert space $$\mathcal {H}$$ H of dimension at least n . Define a norm on $$\mathcal {B}(\mathcal {H})$$ B
J. Chan, Chi-Kwong Li
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Unitarily Invariant Norms on Dual Quaternion Matrices
Pacific Journal of Optimization, 2023Summary: Dual quaternion matrices have recently received significant attention in research. In this paper, we primarily investigate unitarily invariant norms of dual quaternion matrices. We first introduce symmetric gauge function on dual numbers and establish a one-to-one correspondence between unitarily invariant norms of dual quaternion matrices and
Chen Sheng, Haofei Hu
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Unitarily invariant norms on finite von Neumann algebras
Acta Scientiarum Mathematicarum, 2023The authors generalize the celebrated theorem of \textit{J. von Neumann} [Mitt. Forsch.-Inst. Math. Mech. Univ. Tomsk 1, 286--299 (1937; Zbl 0017.09802)] on unitarily invariant norms on \(n\times n\) matrices to the context of finite von Neumann algebras \(\mathcal{R}\). A norm \(\alpha\) on a unital \(C^*\)-algebra \(\mathcal{A}\) is called normalized
Haihui Fan, D. Hadwin
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Unitarily Invariant Norms and Rearrangement
Grundlehren der mathematischen Wissenschaften, 2019In the next chapter, we will discuss some operator norm inequalities for matrix monotone functions and also some functions which are functional inverses of matrix monotone functions.
B. Simon
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Non-Linear Traces on Matrix Algebras, Majorization, Unitarily Invariant Norms and 2-Positivity
Analysis Mathematica, 2021We study non-linear traces of Choquet type and Sugeno type on matrix algebras. They have certain partial additivities. We show that these partial additivities characterize non-linear traces of both Choquet type and Sugeno type respectively.
M. Nagisa, Y. Watatani
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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.
Xue Wang, Ren-Cang Li
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