논문KCI 등재
LINEAR MAPS PRESERVING IDEMPOTENT OPERATORS
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
Let A and B be some standard operator algebras on complex Banach spaces X and Y , respectively. We give the concrete forms of linear idempotence preserving maps φ : A → B on finite-rank operators.
Abstract
Let A and B be some standard operator algebras on complex Banach spaces X and Y , respectively. We give the concrete forms of linear idempotence preserving maps φ : A → B on finite-rank operators.
참고문헌 (7)
- M. Brešar, "Mappings which preserve idempotents, local automorphisms, and local derivations", Canad. J. Math., 45(3), pp.483~496 (1993)
- M. Brešar, "Invertibility preserving maps preserve idempotents", Michigan Math. J., 45(3), pp.483~488 (1998)
- L. Fang, "Maps preserving the idempotency of products of operators", Linear Algebra Appl., 426(1), pp.40~52 (2007)
- J. C. Hou, "Rank-preserving linear maps on B(X)", Sci. China Ser. A, 32(8), pp.929~940 (1989)
- B. Kuzma, "Additive idempotence preservers", Linear Algebra Appl., 355, pp.103~117 (2002)
- M. Omladič, "Additive mappings preserving operators of rank one", Linear Algebra Appl., 182, pp.239~256 (1993)
- M. Wang, "Linear maps preserving idempotency of products or triple Jordan products of operators", Linear Algebra Appl., 429(1), pp.181~189 (2008)
관련 논문AI추천
MAPS PRESERVING GENERALIZED PROJECTION OPERATORSHassane Benbouziane, Kaddour Chadli, Mustapha Ech-cherif El Kettani대한수학회 · 대한수학회논문집2024 · 제39권 제3호Maps preserving $m$- isometries on Hilbert spaceAlireza Majidi강원경기수학회 · 한국수학논문집2019 · 제27권 제3호Linear maps preserving AN-operatorsHiroyuki Osaka, Ramesh Golla대한수학회 · 대한수학회보2020 · 제57권 제4호Linear maps which are $\theta$-centralizers at zero or identity productsAbbas Zivari-Kazempour대한수학회 · 대한수학회논문집2025 · 제40권 제1호Jordan Product and ∂-Spectrum PreserversEl Houcine El Bouchibti, Youssef Chakir경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2025 · 제65권 제2호The minimum modulus of a linear map in operator spaces계승혁대한수학회 · 대한수학회논문집2008 · 제23권 제4호
이 간행물의 다른 논문 (17건)
MODULE EXTENSION OF DUAL BANACH ALGEBRASMadjid Eshaghi Gordji, Fereydoun Habibianpp. 663-673TWO STEP ALGORITHM FOR SOLVING REGULARIZED GENERALIZED MIXED VARIATIONAL INEQUALITY PROBLEMKaleem Raza Kazmi, Faizan Ahmad Khan, Mohammad Shahzapp. 675-685ON GROUPS SATISFYING THE MAXIMAL AND THE MINIMAL CONDITIONS FOR SUBNORMAL SUBGROUPS OF INFINITE ORDER OR INDEXAlessio Russopp. 687-691INVERSE POLYNOMIAL MODULES INDUCED BY AN R-LINEAR MAP정진선, 박상원pp. 693-699GEOMETRY OF SCREEN CONFORMAL REAL HALF LIGHTLIKE SUBMANIFOLDS진대호pp. 701-714