지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
이용수
초록· 키워드
오류제보하기
In this paper, we present some upper bounds for unitarily invariant norms inequalities. Among other inequalities, we show some upper bounds for the Hilbert-Schmidt norm. In particular, we prove \begin{align*} \|f(A)Xg(B)\pm g(B)Xf(A)\|_2\leq \left\|\tfrac{(I+|A|)X(I+|B|)+(I+|B|)X(I+|A|)}{d_Ad_B}\right\|_2, \end{align*} where $A, B, X\in\mathbb{M}_n$ such that $A$, $B$ are Hermitian with $\sigma (A)\cup\sigma(B)\subset\mathbb{D}$ and $f, g$ are analytic on the complex unit disk $\mathbb{{D}}$, $g(0)=f(0)=1$, $\textrm{Re}(f)>0$ and $\textrm{Re}(g)>0$.
목차
등록된 정보가 없습니다.
참고문헌 (17)
참고문헌 신청
R. Alizadeh / 2012 / An extension of Ky Fan's dominance theorem / Banach J. Math. Anal. 6(1):139~146
T. Ando / 1999 / Norm inequalities related to operator monotone functions / Math. Ann. 315(4):771~780
M. Bakherad / 2017 / Numerical radius inequalities involving commutators of $G_1$ operators / Complex Anal. Oper. Theory 2017
M. Bakherad / 2015 / Reverses and variations of Heinz inequality / Linear Multilinear Algebra 63(10):1972~1980
L. Bao / 2006 / Krylov subspace methods for the generalized Sylvester equation / Appl. Math. Comput. 175(1):557~573
T. Ando / 1999 / Norm inequalities related to operator monotone functions / Math. Ann. 315(4):771~780
M. Bakherad / 2017 / Numerical radius inequalities involving commutators of
M. Bakherad / 2015 / Reverses and variations of Heinz inequality / Linear Multilinear Algebra 63(10):1972~1980
L. Bao / 2006 / Krylov subspace methods for the generalized Sylvester equation / Appl. Math. Comput. 175(1):557~573
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
On some inequalities for numerical radius of operators in Hilbert spaces
한국수학논문집
2017 .06
-
Weighted estimates for certain rough operators with applications to vector valued inequalities
대한수학회지
2021 .01
-
LINEAR PRESERVERS OF SYMMETRIC ARCTIC RANK OVER THE BINARY BOOLEAN SEMIRING
대한수학회지
2017 .07
-
A note on some inequalities for the $b$-numerical radius and $b$-norm in 2-Hilbert space operators
한국수학논문집
2019 .01
-
SOME OPERATOR INEQUALITIES INVOLVING IMPROVED YOUNG AND HEINZ INEQUALITIES
순수 및 응용수학
2018 .01
-
Some trace inequalities for convex functions of selfadjoint operators in Hilbert spaces
한국수학논문집
2016 .01
-
Operator Inequalities Related to Angular Distances
Kyungpook Mathematical Journal
2017 .01
-
Essential norms of integral operators
대한수학회지
2019 .01
-
Some numerical radius inequalities for semi-Hilbert space operators
대한수학회지
2021 .11
-
On numerical range and numerical radius of convex function operators
한국수학논문집
2019 .01
-
On a class of generalized triangular norms
대한수학회논문집
2017 .01
-
Bernstein-type inequalities preserved by modified Smirnov operator
한국수학논문집
2022 .06
-
Invariants of Local Rings under Completion
조선자연과학논문집
2017 .01
-
Range Kernel Orthogonality and Finite Operators
Kyungpook Mathematical Journal
2015 .01
-
Essential norm of the pull back operator
한국수학논문집
2016 .01
-
Strong hypercyclicity of Banach space operators
대한수학회지
2021 .01
-
Invariant mean value property and $\mathcal M$-harmonicity on the half-space
대한수학회보
2021 .01
-
Linear maps preserving AN-operators
대한수학회보
2020 .01
-
Operators on soft inner product spaces II
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2017 .03
-
Convexity of integral operators generated by some new inequalities of hyper-Bessel functions
대한수학회논문집
2019 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0