Results 11 to 20 of about 597 (98)
Nilpotent Completely Positive Maps [PDF]
arXiv, 2013 We study the structure of nilpotent completely positive maps in terms of Choi-Kraus coefficients. We prove several inequalities, including certain majorization type inequalities for dimensions of kernels of powers of nilpotent completely positive maps ...
Bhat, B V Rajarama, Mallick, Nirupama
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Bounds of the logarithmic mean [PDF]
, 2013 We give tight bounds for logarithmic mean. We also give new Frobenius norm inequalities for two positive semidefinite matrices. In addition, we give some matrix inequalities on matrix power mean.Comment: The second assertion in (i) of Proposition 5.2 was
Furuichi, Shigeru, Yanagi, Kenjiro
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Alternative reverse inequalities for Young's inequality [PDF]
Journal of Mathematical Inequalities, Vol.5(2011), pp.595-600, 2011 Two reverse inequalities for Young's inequality were shown by M. Tominaga, using Specht ratio. In this short paper, we show alternative reverse inequalities for Young's inequality without using Specht ratio.Comment: The constant in the right hand side ...
Furuichi, Shigeru, Minculete, Nicuşor
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Unitarily invariant norm inequalities for some means [PDF]
, 2014 We introduce some symmetric homogeneous means, and then show unitarily invariant norm inequalities for them, applying the method established by Hiai and Kosaki.
Furuichi, Shigeru
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M-matrices satisfy Newton's inequalities [PDF]
Proc. Amer. Math. Soc. 133 (2005), 711-717, 2005 Newton's inequalities $c_n^2 \ge c_{n-1}c_{n+1}$ are shown to hold for the normalized coefficients $c_n$ of the characteristic polynomial of any $M$- or inverse $M$-matrix.
Holtz, Olga
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The weighted and the Davis-Wielandt Berezin number
Operators and Matrices, 2023 . A functional Hilbert space is the Hilbert space of complex-valued functions on some set ⊆ C that the evaluation functionals ( f ) = f ( ) , ∈ are continuous on H .
M. Garayev +2 more
semanticscholar +1 more source
New determinantal inequalities concerning Hermitian and positive semi-definite matrices
Operators and Matrices, 2021 . Let A , B be n × n matrices such that A is positive semi-de fi nite and B is Hermitian. In this note, it is shown, among other inequalities, the following determinantal inequality det ( A k +( AB ) 2 ) (cid:2) det ( A k + A 2 B 2 ) for all k ∈ [ 1 , ∞ [
H. Abbas +2 more
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A new generalized refinement of the weighted arithmetic-geometric mean inequality
, 2020 In this paper, we prove that for i = 1,2, . . . ,n , ai 0 and αi > 0 satisfy ∑i=1 αi = 1 , then for m = 1,2,3, . . . , we have ( n ∏ i=1 ai i )m + rm 0 ( n ∑ i=1 ai −n n √ n ∏ i=1 ai ) ( n ∑ i=1 αiai )m where r0 = min{αi : i = 1, . . . ,n} .
M. Ighachane, M. Akkouchi, E. Benabdi
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Linear maps of positive partial transpose matrices and singular value inequalities
, 2020 Linear maps Φ : Mn → Mk are called m -PPT if [Φ(Ai j)]i, j=1 are positive partial transpose matrices for all positive semi-definite matrices [Ai j]i, j=1 ∈ Mm(Mn) .
Xiaohui Fu, Pan-shun Lau, T. Tam
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Extending a result of Haynsworth
Journal of Mathematical Inequalities, 2020 Haynsworth [4] refined a determinant inequality for two positive definite matrices. We extend Haynsworth’s result to more than two positive definite matrices and obtain some inequalities for sum of positive definite matrices.
Qian Li, Qingwen Wang, S. Dong
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