Norm inequalities for positive semidefinite matrices and a question of Bourin
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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
Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices
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DOI: 10.1515/math-2023-0185
Abstract: Abstract This article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert-Schmidt norm… read more here.
Keywords: young type; semidefinite matrices; type inequalities; enhanced young ... See more keywords