AbstractWe give a simple proof of the inequality ⦀ AA∗X + XBB∗ ⦀ ⩾ 2 ⦀ A∗AB ⦀, where A, B, and X are arbitrary n × n matrices and ⦀ · ⦀ is any unitarily invariant norm. For the Schatten p-norms ‖ · ‖p with 1< p <∞, we show that ‖AA∗X + XBB∗‖p = 2‖A∗XB‖p if and only if AA∗ X = XBB∗
AbstractGiven matrices of the same size, A = [aij] and B = [bij], we define their Hadamard product t...
AbstractFor a unitarily invariant norm ∥·∥φon Mn and p ⩾ 1 we define ∥Aφ, p, by ∥∣A∣p∥1pφ. Then ∥·∥φ...
AbstractFor positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B)2||| isshown to ho...
AbstractWe give a simple proof of the inequality ⦀ AA∗X + XBB∗ ⦀ ⩾ 2 ⦀ A∗AB ⦀, where A, B, and X are...
Let A, B, X be complex matrices with A, B positive semidefinite. It is proved that (2 + t)paralle...
For positive semi-definite n×n matrices, the inequality 4|||AB|||≤|||(A+B)<SUP>2</SUP>||| is s...
Abstract In this paper, we present some extensions of interpolation between the arithmetic-geometric...
We prove an inequality for unitarily invariant norms that interpolates between the Arithmetic-Geomet...
We prove an inequality for unitarily invariant norms that interpolates between the Arithmetic-Geomet...
AbstractAn arithmetic-geometric mean inequality for unitarily invariant norms and matrices,2∥A∗XB∥⩽∥...
AbstractWe integrate ten unitarily invariant matrix norm inequalities equivalent to the Heinz inequa...
AbstractFor positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B)2||| isshown to ho...
We prove an inequality for unitarily invariant norms that interpolates between the Arithmetic-Geomet...
AbstractWe integrate ten unitarily invariant matrix norm inequalities equivalent to the Heinz inequa...
AbstractWe shall prove the inequalities|||(A+B)(A+B)∗|||⩽|||AA∗+BB∗+2AB∗|||⩽|||(A-B)(A-B)∗+4AB∗|||fo...
AbstractGiven matrices of the same size, A = [aij] and B = [bij], we define their Hadamard product t...
AbstractFor a unitarily invariant norm ∥·∥φon Mn and p ⩾ 1 we define ∥Aφ, p, by ∥∣A∣p∥1pφ. Then ∥·∥φ...
AbstractFor positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B)2||| isshown to ho...
AbstractWe give a simple proof of the inequality ⦀ AA∗X + XBB∗ ⦀ ⩾ 2 ⦀ A∗AB ⦀, where A, B, and X are...
Let A, B, X be complex matrices with A, B positive semidefinite. It is proved that (2 + t)paralle...
For positive semi-definite n×n matrices, the inequality 4|||AB|||≤|||(A+B)<SUP>2</SUP>||| is s...
Abstract In this paper, we present some extensions of interpolation between the arithmetic-geometric...
We prove an inequality for unitarily invariant norms that interpolates between the Arithmetic-Geomet...
We prove an inequality for unitarily invariant norms that interpolates between the Arithmetic-Geomet...
AbstractAn arithmetic-geometric mean inequality for unitarily invariant norms and matrices,2∥A∗XB∥⩽∥...
AbstractWe integrate ten unitarily invariant matrix norm inequalities equivalent to the Heinz inequa...
AbstractFor positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B)2||| isshown to ho...
We prove an inequality for unitarily invariant norms that interpolates between the Arithmetic-Geomet...
AbstractWe integrate ten unitarily invariant matrix norm inequalities equivalent to the Heinz inequa...
AbstractWe shall prove the inequalities|||(A+B)(A+B)∗|||⩽|||AA∗+BB∗+2AB∗|||⩽|||(A-B)(A-B)∗+4AB∗|||fo...
AbstractGiven matrices of the same size, A = [aij] and B = [bij], we define their Hadamard product t...
AbstractFor a unitarily invariant norm ∥·∥φon Mn and p ⩾ 1 we define ∥Aφ, p, by ∥∣A∣p∥1pφ. Then ∥·∥φ...
AbstractFor positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B)2||| isshown to ho...
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