Results 51 to 60 of about 811,433 (325)
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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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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Non-linear positive maps between C*-algebras [PDF]
Linear and multilinear algebra, 2018 We present some properties of (not necessarily linear) positive maps between -algebras. We first extend the notion of Lieb functions to that of Lieb positive maps between -algebras.
A. Dadkhah, M. S. Moslehian
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Detecting and quantifying entanglement on near-term quantum devices
npj Quantum Information, 2022 Quantum entanglement is a key resource in quantum technology, and its quantification is a vital task in the current noisy intermediate-scale quantum (NISQ) era.
Kun Wang +4 more
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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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On an operator Kantorovich inequality for positive linear maps [PDF]
, 2012 We improve the operator Kantorovich inequality as follows: Let $A$ be a positive operator on a Hilbert space with ...
Minghua Lin
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