Some Classes of Operators Related to p-Hyponormal Operator

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References

[1] M. Fujii, D. Jung, S. H. Lee, M. Y. Lee and R. Nakamoto, “Some Classes of Operators Related to Paranormal and Log-Hyponormal Operators,” Japanese Journal of Mathematics, Vol. 51, No. 3, 2000, pp. 395-402.

[2] T. Furuta, “A ≥ B ≥ 0 Assures (B^{r}A^{p}B^{r})^{1/q}≥B^{(p+2r)/q} for r≥0, p≥0, q≥1 with (1+2r)q≥p+2r,” Proceedings of the American Mathematical Society, Vol. 101, No. 1, 1987, pp. 85-88. doi:10.2307/2046555

[3] T. Ando, “Operators with a Norm Condition,” Acta Sci- entiarum Mathematicarum, Vol. 33, 1972, pp. 169-178.

[4] T. Furuta, “Elementary Proof of an Order Preserving Inequality,” Proceedings of the Japan Academy, Vol. 65, No. 5, 1989, p. 126. doi:10.3792/pjaa.65.126

[5] M. Fujii, “Furuta’s Inequality and Its Mean Theoretic Approach,” Journal of Operator Theory, Vol. 23, No. 1, 1990, pp. 67-72.

[6] E. Kamei, “A Satellite to Furuta’s Inequality,” Japanese Journal of Mathematics, Vol. 33, 1988, pp. 883-886.