Some Norm Inequalities for Operators
1999 ◽
Vol 42
(1)
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pp. 87-96
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AbstractLet Ai , Bi and Xi (i = 1, 2,…,n) be operators on a separable Hilbert space. It is shown that if f and g are nonnegative continuous functions on [0, ∞) which satisfy the relation f(t)g(t) = t for all t in [0, ∞), thenfor every r > 0 and for every unitarily invariant norm. This result improves some known Cauchy-Schwarz type inequalities. Norm inequalities related to the arithmetic-geometric mean inequality and the classical Heinz inequalities are also obtained.
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2012 ◽
Vol 20
(1)
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pp. 38-42
Keyword(s):
2016 ◽
Vol 27
(02)
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pp. 1650008
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