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Squaring a reverse AM-GM inequality

100%

Lin M.

Studia Mathematica

2013

tom 215

nr 2

187-194

Let A, B be positive operators on a Hilbert space with 0 < m ≤ A, B ≤ M. Then for every unital positive linear map Φ, Φ²((A + B)/2) ≤ K²(h)Φ²(A ♯ B), and Φ²((A+B)/2) ≤ K²(h)(Φ(A) ♯ Φ(B))², where A ♯ B is the geometric mean and K(h) = (h+1)²/(4h) with h = M/m.

Bilinear characterizations of companion matrices

63%

Lin M., Wimmer H. K.

Special Matrices

2014

tom 2

nr 1

Companion matrices of the second type are characterized by properties that involve bilinear maps.

Ograniczanie wyników

1 Special Matrices

1 Studia Mathematica

2 Lin M.

1 Wimmer H. K.

1 2014

1 2013

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Squaring a reverse AM-GM inequality

Bilinear characterizations of companion matrices