Results 141 to 150 of about 10,743 (170)

Hölder-type inequalities involving unitarily invariant norms

Positivity, 2011
The author proves that, if \(A, B\) and \(X\) are operators acting on a complex Hilbert space, then \[ \left| \left| \left| {} \left| A^{\ast }XB\right|^{r} \right| \right| \right| ^{2}\leq \left| \left| \left| \left( A^{\ast }\left| X^{\ast} \right| A\right) ^{\frac{ pr}{2}} \right| \right| \right| ^{\frac{1}{p}} \left| \left| \left| \left( B^{\ast ...
Hussien Albadawi
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Unitarily Invariant Operator Norms

Canadian Journal of Mathematics, 1983
1.1. Over the past 15 years there has grown up quite an extensive theory of operator norms related to the numerical radius1of a Hilbert space operator T. Among the many interesting developments, we may mention:(a) C. Berger's proof of the “power inequality”2(b) R. Bouldin's result that3for any isometry V commuting with T;(c) the unification by B.
Fong, C.-K., Holbrook, J. A. R.
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Unitarily invariant norm submultiplicativity

Linear and Multilinear Algebra, 1992
In this paper, we view rules for multiplying matrices (such as the Hadamard product, usual product and Kronecker product) as combinatorial objects. Our purpose is to determine conditions on these objects that imply submultiplicativity with respect to the spectral norm and certain of the unitarily invariant norms.
Charles R. Johnson, Peter Nylen
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A note on unitarily invariant matrix norms

Linear Algebra and its Applications, 2020
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Ding, Wenxuan, Li, Chi-Kwong, Li, Yuqiao
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Unitarily invariant norms on finite von Neumann algebras

Acta Scientiarum Mathematicarum, 2023
The 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, Don Hadwin
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Unitarily Invariant Norms and Rearrangement

2019
In 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.
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Unitarily invariant norms related to semi-finite factors

Studia Mathematica, 2015
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Fang, Junsheng, Hadwin, Don
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Unitarily invariant generalized matrix norms and hadamard products

Linear and Multilinear Algebra, 1984
Let ‖ · ‖ be a unitarily invariant generalized matrix norm on Mn (C) the space of n-square complex matrices. Theorems are developed relating the Hadamard product (entrywise product) of two matrices A,BeMn (C) to the singular values of A and B. We conjecture that for any such norm. where A · B denotes the Hadamard product. For p ⩾ 1,1 ⩽ k ⩽ n, let where
Marvin Marcus, Kent Kidman, Markus Sandy
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Unitarily invariant norms on dual quaternion matrices

Pacific Journal of Optimization
Summary: 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, Hu, Haofei
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Interpolating inequalities for unitarily invariant norms of matrices

Advances in Operator Theory
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Ahmad Al-Natoor, Omar Hirzallah, Fuad Kittaneh   +2 more
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