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An elementary proof of an order preserving inequality

Takayuki Furuta

Proceedings of the Japan Academy Series A Mathematical Sciences · 1989 · 92 citations · 1 references

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Abstract

An operator means a bounded linear operator on a Hilbert space. By only using the idea o polar decomposition, here we give an elementary

References

1

$A \geq B \geq 0$ Assures $(B^r A^p B^r)^{1/q} \geq B^{(p+2r)/q$ for $r \geq 0$, $p \geq 0$, $q \geq 1$ with $(1 + 2r)q \geq p + 2r$

Takayuki Furuta · Proceedings of the American Mathematical Society · 1987 · 43 citations

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