논문KCI 등재
ON HEINZ-KATO-FURUTA INEQUALITY WITH BEST BOUNDS
한국수학교육학회|2008.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제15권 제1호|pp. 93-101
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In this article we shall characterize the Heinz-Kato-Furuta inequality in several ways, and the best bound for sharpening of the inequality is obtained by the method in [7].
Abstract
In this article we shall characterize the Heinz-Kato-Furuta inequality in several ways, and the best bound for sharpening of the inequality is obtained by the method in [7].
참고문헌 (9)
- N.N. Chan, "Hermitian matrix inequalities and a conjecture", Amer. Math. Month, 92, pp.533~541 (1985)
- T. Furuta, "A ≥ B ≥ O assures (BrApBr)1", q ≥ B(p+2r), Proc. Amer. Math. Soc, pp.1987, 101[DOI]
- T. Furuta, "Generalization of Heinz-Kato theorem via Furuta inequality", Operator Theory, 62, pp.77~83 (1993)
- E. Heinz, "Beitrage zur Storungstheorie der Spektralzerlegung", Math. Ann, 123, pp.415~438 (1951)
- T. Kato, "Notes on some inequalities for linear operators", Math. Ann, 125, pp.208~212 (1952)
- C.-S. Lin, "Heinz's inequality and Bernstein's inequality", Proc. Amer. Math. Soc, 125, pp.2319~2325 (1997)
- C.-S. Lin, "Operator versions of inequalities and equalities on a Hilbert space", Linear Algebra Appl, 268, pp.365~374 (1998)
- C.-S. Lin, "On inequalities of Heinz and Kato, and Furuta for Linear operators", Math. Japonica, 50, pp.463~468 (1999)
- K. Lowner, "Uber monotone Matrixfunktionen", Math. Z, 38, pp.177~216 (1934)
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