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An Application of Furuta Inequality to Linear Operator Equations
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A class of Hermitian operators B admitting a positive semidefinite solution of the linear operator equation [수식] for a fixed positive definite operator A is given via the Furuta inequality.
Abstract
A class of Hermitian operators B admitting a positive semidefinite solution of the linear operator equation [수식] for a fixed positive definite operator A is given via the Furuta inequality.
참고문헌 (2)
- R. Bhatia, "The operator equation Σn i=0 AniXBi = Y", Expo. Math, 27, pp.251~255 (2009)
- N. Chan, "Hermitian matrix inequalities and a conjecture", Amer. Math. Monthly, 92, pp.533~541 (1985)
관련 논문AI추천
ON HEINZ-KATO-FURUTA INEQUALITY WITH BEST BOUNDSC.-S. Lin한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제1호Riccati Equation and Positivity of Operator MatricesJun Ichi Fujii, Masatoshi Fujii, Ritsuo Nakamoto경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제4호A study on generalized quasi-class A operators김건호, 전인호강원경기수학회 · 한국수학논문집2009 · 제17권 제2호On Self-commutator ApproximantsBhagwati Prashad Duggal경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제1호ON CHAOTIC OPERATOR ORDER A ≫ C ≫ B IN HILBERT SPACESC.-S. Lin영남수학회 · East Asian Mathematical Journal2008 · 제24권 제1호Weighted Numerical Radius Inequalities for Operators and 2×2 Operator MatricesAbdelkader Frakis, Aicha Ammar, Fuad Kittaneh경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2025 · 제65권 제1호
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