Summary
A recent note by Marshall and Olkin (1990), in which the Cauchy-Schwarz and Kantorovich inequalities are considered in matrix versions expressed in terms of the Loewner partial ordering, is extended to cover positive semidefinite matrices in addition to positive definite ones.
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Dedicated to the memory of Alexander M. Ostrowski on the occasion of the 100th anniversary of his birth
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Baksalary, J.K., Puntanen, S. Generalized matrix versions of the Cauchy-Schwarz and Kantorovich inequalities. Aeq. Math. 41, 103–110 (1991). https://doi.org/10.1007/BF02227445
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DOI: https://doi.org/10.1007/BF02227445