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Positive linear maps on normal matrices [PDF]
International Journal of Mathematics, 2018 For a positive linear map [Formula: see text] and a normal matrix [Formula: see text], we show that [Formula: see text] is bounded by some simple linear combinations in the unitary orbit of [Formula: see text]. Several elegant sharp inequalities are derived, for instance for the Schur product of two normal matrices [Formula: see text], [Formula: see ...
Jean-Christophe Bourin, Eun-Young Lee
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Operator inequalities of Jensen type
Topological Algebra and its Applications, 2013 We present some generalized Jensen type operator inequalities involving sequences of self-adjoint operators.
Moslehian M. S., Mićić J., Kian M.
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Asymptotic lifts of positive linear maps [PDF]
Pacific Journal of Mathematics, 2007 We show that the notion of asymptotic lift generalizes naturally to normal positive maps $ϕ$ acting on von Neumann algebras M. We focus on cases in which the domain of the asymptotic lift can be embedded as an operator subsystem of M, and characterize when that subsystem is a Jordan subalgebra of M in terms of the asymptotic multiplicative properties ...
Arveson, William, Størmer, Erling
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Complete positivity of mapping valued linear maps
Mathematische Zeitschrift, 1988 We consider the matrix order structure of ordered Banach space. This notion is an extended version of the order structure of a \(C^ *\)- algebra or a predual of von Neumann algebra induced by the cone of its positive elements. Corresponding to the case that the associated algebra is abelian, we introduce the notion, a matrix ordered Banach space of ...
Itoh, Takashi, Nagisa, Masaru
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Infinite dimensional generalizations of Choi’s Theorem
Special Matrices, 2019 In this paper we give a simple sequence of necessary and sufficient finite dimensional conditions for a positive map between certain subspaces of bounded linear operators on separable Hilbert spaces to be completely positive. These criterions are natural
Friedland Shmuel
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Positive linear maps and perturbation bounds of matrices
Linear Algebra and its Applications, 2017 We show how positive unital linear maps can be used to obtain lower bounds for the maximum distance between the eigenvalues of two normal matrices. Some related bounds for the spread and condition number of Hermitian matrices are also discussed here.
Sharma, R., Kumari, R.
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Inequalities for sector matrices and positive linear maps
, 2019 Ando proved that if A, B are positive definite, then for any positive linear map Φ, it holds Φ(A#λB) ≤ Φ(A)#λΦ(B), where A#λB, 0 ≤ λ ≤ 1, means the weighted geometric mean of A, B.
Che, Huimin, Tan, Fuping
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A note on linear preservers of semipositive and minimally semipositive matrices
, 2018 Semipositive matrices (matrices that map at least one nonnegative vector to a positive vector) and minimally semipositive matrices (semipositive matrices whose no column-deleted submatrix is semipositive) are well studied in matrix theory.
Kannan, Rajesh +2 more
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Positive linear maps and spreads of matrices-II
Linear Algebra and its Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhatia, Rajendra, Sharma, Rajesh
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, 2014 We show that the existence of a surjective isometry (which is merely a distance preserving map) between the unitary groups of unital C*-algebras implies the existence of a Jordan *-isomorphism between the algebras.
Hatori, Osamu, Molnár, Lajos
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