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A note on inequalities for positive linear maps

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1 Published in 2017 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2016.05.033

Abstract: Abstract We obtain some generalisations of the inequalities for positive unital linear maps on the algebra of matrices. As a consequence, we obtain several positive semidefinite matrices and new eigenvalue inequalities for Hermitian matrices. read more here.

Keywords: note inequalities; inequalities positive; linear maps; positive linear ... See more keywords

Norm inequalities for positive semidefinite matrices and a question of Bourin

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0 Published in 2017 at "International Journal of Mathematics"

DOI: 10.1142/s0129167x17501026

Abstract: Let A,B,X ∈ Mn(ℂ) such that A and B are positive semidefinite. It is shown that ∥|AtXB1−t + BtX∗A1−t|∥≤∥|AX|∥ + ∥|XB|∥ for t ∈ [0, 1] and for every unitarily invariant norm. This gives an… read more here.

Keywords: inequalities positive; matrices question; semidefinite matrices; norm inequalities ... See more keywords

Exponential Inequalities for Positive Linear Mappings

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0 Published in 2018 at "Journal of Function Spaces"

DOI: 10.1155/2018/5467413

Abstract: In this article, we present exponential-type inequalities for positive linear mappings and Hilbert space operators, by means of convexity and the Mond-Pečarić method. The obtained results refine and generalize some known results. As an application,… read more here.

Keywords: exponential inequalities; inequalities positive; positive linear; linear mappings ... See more keywords

Improving some operator inequalities for positive linear maps

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0 Published in 2018 at "Filomat"

DOI: 10.2298/fil1812333y

Abstract: Let 0 < mI ≤ A ≤ m′I ≤M′I ≤ B ≤MI and p ≥ 1. Then for every positive unital linear map Φ, Φ(A∇tB) ≤ ( K(h,2) 4 1 p −1(1+Q(t)(log M′ m′ )… read more here.

Keywords: inequalities positive; linear maps; improving operator; operator inequalities ... See more keywords

Some refinements of operator inequalities for positive linear maps

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1 Published in 2017 at "Journal of Mathematical Inequalities"

DOI: 10.7153/jmi-11-02

Abstract: In this paper, we refine some operator inequalities as follows: Let A , B be positive operators on a Hilbert space with 0 < m A m′ < M′ B M . Then for every… read more here.

Keywords: inequalities positive; linear maps; operator inequalities; refinements operator ... See more keywords