Results 151 to 160 of about 10,056 (177)

Unitarily invariant norms on finite von Neumann algebras

Acta Scientiarum Mathematicarum, 2023
Haihui Fan, Don Hadwin, Fan Haihui
exaly   +2 more sources

Inequalities of singular values and unitarily invariant norms for sums and products of matrices

Positivity
Zhao Jianguo
exaly   +2 more sources

Operator inequalities of Hölder type for unitarily invariant norms

Positivity, 2017
Zhao Jianguo, Wu Junliang
exaly   +3 more sources

SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS

Quarterly Journal of Mathematics, 1960
L Mirsky, Mirsky L
exaly   +3 more sources

Total least squares problem with the arbitrary unitarily invariant norms

Linear and Multilinear Algebra, 2017
Xue-Feng Wang
exaly   +2 more sources

On some inequalities for unitarily invariant norms and singular values

Linear Algebra and Its Applications, 2012
In this note, we improve and generalize some existing inequalities for unitarily invariant norms and singular values, and present some other inequalities for unitarily invariant ...
Limin Zou, Chuanjiang He
exaly   +2 more sources

Non-Linear Traces on Matrix Algebras, Majorization, Unitarily Invariant Norms and 2-Positivity

Analysis Mathematica, 2021
We 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
semanticscholar   +1 more source

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
openaire   +1 more source

Improved Young and Heinz operator inequalities for unitarily invariant norms

, 2020
In this paper, we present numerous refinements of the Young inequality by the Kantorovich constant. We use these improved inequalities to establish corresponding operator inequalities on a Hilbert space and some new inequalities involving the Hilbert ...
A. Beiranvand, A. Ghazanfari
semanticscholar   +1 more source

Upper bounds for singular subspaces under unitarily invariant norms with applications to high-dimensional covariance matrix estimation

Ukrains'kyi Matematychnyi Zhurnal
UDC 519.21, 517.98, 512.64 In [J.  Cape, et al., Ann. Statist., 47, Article 2405 (2019)], the authors established perturbation bounds for the $\ell_{2 \to \infty}$-norm of singular subspaces and applied this framework to high-dimensional covariance ...
Chunguang Ren, Pei Zhang, Shiguo Huang
semanticscholar   +1 more source