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Natural Science Basic Research Plan in Shaanxi Province(Grant No.2023-JC-YB-050);Overseas Students Science and Technology Activities Project Merit Funding in Shaanxi Province(Grant No.2022-018);Shaanxi Fundamental Science Research Project for Mathematics and Physics(Grant No.23JSQ038)。
Let X be an infinite-dimensional complex Banach space,and B(X)the algebra of all bounded linear operators on X.Given an integer n≥1,we characterize all the bijective maps on B(X)preserving the difference of semi-Fred...
Supported by the National Natural Science Foundation of China(Grant No.11771261)。
Let H be a complex Hilbert space and B(H)the algebra of all bounded linear operators on H.An operator A is called the truncation of B in B(H)if A=P_(A)BP_(A^(*)),where PA and P_(A^(*))denote projections onto the closu...
GRISER Intelligent Wine Vacuum Preserver,RMB199 Preserve the taste of your wine bottles with the GRISER Intelligent Wine Vacuum Preserver Equipped with a highly sensitive air pressure and sensor detection system,it de...
Supported by the National Natural Science Foundation of China(Grant No.11671294)
Let R_1 and R_2 be two rings with unit I. We give some characterizations of ring homomorphisms and ring isomorphisms between R_1 and R_2 in term of complete preservers of fixed points of multipliers, under some mild a...
Supported by the National Natural Science Foundation of China(Grant No.11501401)
Let H, K be infinite dimensional complex Hilbert spaces, and A, B be factor von Neumann algebras on H and K, respectively. It is shown that every surjective map completely preserving Jordan 1-*-zero-product from A to...
Ode to the West Wind is a famous poetry written by Percy Bysshe Shelley to criticize the old and rotten thing (destroyer), and to praise the West Wind (preserver) at that age. He also expressed his hope that bright wi...
Abstract Let F be a field, and let G be the standard Borel subgroup of the symplectie group Sp(2m, F). In this paper, we characterize the bijective maps φ: G -- G satisfying φ[x, y] = [φ(x), φ(y)].
supported by National Natural Science Foundation of China(10871111);the Specialized Research Fund for Doctoral Program of Higher Education(200800030059)(to Cui);Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education,Science and Technology(NRF-2009-0070788)(to Park)
Let A be a factor von Neumann algebra and Ф be a nonlinear surjective map from A onto itself. We prove that, if Ф satisfies that Ф(A)Ф(B) - Ф(B)Ф(A)* -- AB - BA* for all A, B ∈ A, then there exist a l...
Supported by National Natural Science Foundation of China (Grant Nos. 10871111, 10501029) and the Specialized Research Fund for Doctoral Program of Higher Education (Grant No. 200800030059)
Let H be a complex Hilbert space of dimension greater than 2, and B(H) denote the Banach algebra of all bounded linear operators on H. For A, B C B(H), define the binary relation A ≤ B by A*A = A*B and AA* = A...