# Generalized matrix versions of the Cauchy-Schwarz and Kantorovich inequalities

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## 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.

### AMS (1980) subject classification

Primary 15A42 Secondary 15A45## Preview

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### References

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© Birkhäuser Verlag 1991