Abstract

Let A i , i = 1, … , 4, be compact operators on a complex separable Hilbert space. We show that 2 s j A 1 A 2 ∗ + A 3 A 4 ∗ 1 / 2 ⩽ s j A 1 A 2 A 3 A 4 for j = 1, 2, … . From this we derive norm inequalities, and investigate conditions for equality.

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