Results 251 to 260 of about 1,333,113 (282)

Positive Linear Maps on C^*-Algebras

Canadian Journal of Mathematics, 1972
The objective of this paper is to give some concrete distinctions between positive linear maps and completely positive linear maps on C*-algebras of operators.Herein, C*-algebras possess an identity and are written in German type . Capital letters A, B, C stand for operators, script letters for vector spaces, small letters x, y, z for vectors. Capital
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Positive Linear Mappings Between C*-Algebras

Canadian Mathematical Bulletin, 1995
AbstractWe prove that a positive unital linear mapping from a von Neumann algebra to a unital C*-algebra is a Jordan homomorphism if it maps invertible selfadjoint elements to invertible elements, and that for any compact Hausdorff space X, all positive unital linear mappings from C(X) into a unital C*-algebra that preserve the invertibility for self ...
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Linear mappings preserving the completely positive rank

European Journal of Combinatorics, 2023
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Indecomposable Extreme Positive Linear Maps in Matrix Algebras

Bulletin of the London Mathematical Society, 1994
We consider positive linear maps in the matrix algebra \(M_ n(\mathbb{C})\) over the complex field which fix diagonals. Such a map is of the form \[ X\mapsto A\circ X+ B\circ X^{\text{tr}}+ I\circ X,\quad X\in M_ n(\mathbb{C}), \] for self-adjoint matrices \(A\) and \(B\) with zero diagonals, where \(A\circ X\) (respectively \(X^{\text{tr}}\)) denotes ...
Kim, Hong-Jong, Kye, Seung-Hyeok
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Matrix inequalities involving a positive linear map

Linear and Multilinear Algebra, 1996
Let A be a Hermitian matrix, let Φ be a normalized positive linear map and let f be a continuous real valued function. Real constants α and β such that are determined. If f is matrix convex then β can be taken to be 1. A unified approach is proposed so that the problem of determining α and β is reduced to solving a single variable convex minimization ...
Chi-Kwong Li, Roy Mathias
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n(G)-nonextendibility of linear positive maps

Reports on Mathematical Physics, 1979
Abstract Linear positive maps of C∗-algebras into the algebra of all bounded operators acting on a Hilbert space are considered. A special class of n(G)-nonextendible maps, which contains the class of nonextendible positive maps introduced by S.L. Woronowicz [9], is defined and studied.
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Systemic therapy for hormone receptor‐positive/human epidermal growth factor receptor 2‐negative early stage and metastatic breast cancer

Ca-A Cancer Journal for Clinicians, 2023
Laura A Huppert, Hope S Rugo
exaly  

Evolving standards of care and new challenges in the management of HER2‐positive breast cancer

Ca-A Cancer Journal for Clinicians, 2020
Grace M Choong, Grace D Cullen, Ciara C O'sullivan   +2 more
exaly  

Some inequalities involving eigenvalues and positive linear maps

Advances in Operator Theory, 2023
Ravinder Kumar
exaly  

Discrete and Extremal Positive Linear Mappings

Journal of the London Mathematical Society, 1969
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