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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… Click to show full 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 affirmati...
Keywords:
inequalities positive;
matrices question;
semidefinite matrices;
norm inequalities;
positive semidefinite;
question bourin
Journal Title: International Journal of Mathematics
Year Published: 2017
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Journal Title: International Journal of Mathematics
Year Published: 2017
Link to full text (if available)
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recommendations!