Results 261 to 270 of about 335,000 (300)

On a positive linear map preserving absolute values

open access: yesLinear Algebra and Its Applications, 1997
Suppose M is an n × n (n ⩾ 2) matrix algebra over a C∗-algebra U, and B is a C∗-algebra. If φ : M → B is a positive, disjoint linear map, then φ preserves absolute values.
Leroy B Beasley
exaly   +2 more sources

Further generalizations of some operator inequalities involving positive linear map

open access: yesFilomat, 2017
We obtain a generalized conclusion based on an ?-geometric mean inequality. The conclusion is presented as follows: If m1,M1,m2,M2 are positive real numbers, 0 < m1 ? A ? M1 and 0 < m2 ? B ? M2 for m1 < M1 and m2 < M2, then for every
Changsen Yang, Yang Changsen
exaly   +2 more sources

Completely positive linear maps on complex matrices

open access: yesLinear Algebra and Its Applications, 1975
A linear map Φ from Mn to Mm is completely positive iff it admits an expression Φ(A)=ΣiV∗iAVi where Vi are n×m ...
Man-Duen Choi
exaly   +2 more sources

On an interconnection between the Lipschitz continuity of the solution map and the positive principal minor property in linear complementarity problems over Euclidean Jordan algebras

open access: yesLinear Algebra and Its Applications, 2007
In the setting of Euclidean Jordan algebras, we study the Lipschitz continuity of the solution map of linear complementarity problems. We show that if the solution map is Lipschitz continuous and if the linear transformation has the Q-property, then the ...
Balaji, R.
exaly   +2 more sources

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