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.
초록· 키워드
오류제보하기
Let $\mathcal{A}$ and $\mathcal{B}$ be two operator $\ast$-rings such that $\mathcal{A}$ is prime. In this paper, we show that if the map $\Phi:\mathcal{A}\to\mathcal{B}$ is bijective and preserves Jordan or $\ast$-Jordan triple product, then it is additive. Moreover, if $\Phi$ preserves Jordan triple product, we prove the multiplicativity or anti-multiplicativity of $\Phi$. Finally, we show that if $\mathcal{A}$ and $\mathcal{B}$ are two prime operator $\ast$-algebras, $\Psi:\mathcal{A}\to\mathcal{B}$ is bijective and preserves $\ast$-Jordan triple product, then $\Psi$ is a $\mathbb{C}$-linear or conjugate $\mathbb{C}$-linear $\ast$-isomorphism.
목차
등록된 정보가 없습니다.
참고문헌 (18)
참고문헌 신청
R. An / 2005 / Characterizations of Jordan y-skew multiplicative maps on operator algebras of indenite inner product spaces / Chinese Ann. Math. Ser. B 26(4):569~582
Z. Bai / 2008 / Multiplicative *-Lie isomorphisms between factors / J. Math. Anal. Appl 346(1):327~335
Z. Bai / 2008 / Multiplicative Lie isomorphisms between prime rings / Comm. Algebra 36(5):1626~1633
K. I. Beidarm / 2001 / On Herstein's Lie map conjectures. II / J. Algebra 238(1):239~264
J. Cui / 2009 / Maps preserving product XY - Y X* on factor von Neumann algebras / Linear Algebra Appl 431(5-7):833~842
Z. Bai / 2008 / Multiplicative *-Lie isomorphisms between factors / J. Math. Anal. Appl 346(1):327~335
Z. Bai / 2008 / Multiplicative Lie isomorphisms between prime rings / Comm. Algebra 36(5):1626~1633
K. I. Beidarm / 2001 / On Herstein's Lie map conjectures. II / J. Algebra 238(1):239~264
J. Cui / 2009 / Maps preserving product XY - Y X* on factor von Neumann algebras / Linear Algebra Appl 431(5-7):833~842
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
A note on nonlinear skew Lie triple derivation between prime $\ast$-algebras
한국수학논문집
2018 .01
-
On covering and quotient maps for $\mathcal{I}^{\mathcal{K}}$-convergence in topological spaces
대한수학회논문집
2023 .01
-
On frames for countably generated Hilbert modules over locally $C^*$-algebras
대한수학회논문집
2018 .01
-
지속적으로 AST가 증가된 무증상 환자에서 Macro-AST의 검출
대한임상검사과학회지
2021 .01
-
Gorenstein quasi-resolving subcategories
대한수학회지
2022 .07
-
Characterizations of (Jordan) derivations on Banach algebras with local actions
대한수학회논문집
2023 .04
-
Maps preserving $m$- isometries on Hilbert space
한국수학논문집
2019 .01
-
Multipliers of Dirichlet-type subspaces of Bloch space
대한수학회보
2020 .01
-
2-local derivations on C$^{\ast}$-algebras
대한수학회보
2024 .05
-
Jordan $\mathcal{G}_n$-derivations on path algebras
대한수학회논문집
2022 .10
-
MAPS PRESERVING SOME MULTIPLICATIVE STRUCTURES ON STANDARD JORDAN OPERATOR ALGEBRAS
대한수학회지
2017 .01
-
$C^*$-algebra of local conjugacy equivalence relation on strongly irreducible subshift of finite type
대한수학회보
2024 .01
-
A Banach algebra and its equivalent spaces over paths with a positive measure
대한수학회논문집
2020 .01
-
GENERALIZED FUSION FRAMES WITH C*-VALUED BOUNDS
Nonlinear Functional Analysis and Applications
2023 .03
-
Normal complex symmetric weighted composition operators on the Hardy space
대한수학회지
2021 .01
-
Automatic continuity of $n$-Jordan homomorphisms on Banach algebras
대한수학회논문집
2018 .01
-
Study of quotient near-rings with additive maps
대한수학회논문집
2024 .04
-
Linear maps preserving AN-operators
대한수학회보
2020 .01
-
Some properties of strong chain transitive maps
대한수학회논문집
2019 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0