Now showing items 1-13 of 13

    • Additive maps preserving rank-one operators on nest algebras 

      Bai, Zhaofang; Hou, Jinchuan; Du, Shuanping; 杜拴平 (LINEAR MULTILINEAR A, 2010)
      In this article, we give a thorough discussion of additive maps between nest algebras acting on Banach spaces which preserve rank-one operators in both directions.
    • Additive maps preserving similarity or asymptotic similarity on B(H) 

      Du, Shuanping; Hou, Jinchuan; Bai, Zhaofang; 杜拴平 (LINEAR MULTILINEAR A, 2007-05)
      Let H be an infinite-dimensional complex separable Hilbert space and B(H) denote the algebra of all bounded linear operators acting on H. We show that an additive continuous surjective map phi on B(H) is asymptotic similarity ...
    • Characterization of sum automorphisms and Jordan triple automorphisms of quantum probabilistic maps 

      Bai, Zhaofang; Du, Shuanping; 杜拴平 (J PHYS A-MATH THEOR, 2010-04-23)
      In quantum mechanics, it is often important for the representation of a quantum system to study the structure-preserving bijective maps of the system. Such maps are also called isomorphisms or automorphisms. In this paper, ...
    • Distance preserving maps of nest algebras 

      Bai, Zhaofang; Hou, Jinchuan; Du, Shuanping; 杜拴平 (LINEAR MULTILINEAR A, 2011)
      In this article, we get a complete classification of distance preserving surjective maps Phi between nest algebras acting on separable Hilbert spaces.
    • Local Channels Preserving Maximal Entanglement or Schmidt Number 

      Guo, Yu; Bai, Zhaofang; Du, Shuanping; 杜拴平 (SPRINGER/PLENUM PUBLISHERS, 2013)
      It is well know that entanglement is invariant under local unitary operations. In this paper we show that a local channel preserves maximal entanglement state (MES) or preserves pure states with Schmidt number r (r is an ...
    • Maps preserving products XY-YX* on von Neumann algebras 

      Bai, Zhaofang; Du, Shuanping; 杜拴平 (J MATH ANAL APPL, 2012-02-01)
      Let M, N be von Neumann algebras with no central summands of type I-1. For T, S is an element of M. define [T, S]* = TS - ST* a new product of T and S. In this note, it is proved that a not necessarily linear bijective map ...
    • MAPS PRESERVING UNITARY SIMILARITY ON B(H) 

      Du, Shuanping; Hou, Jinchuan; Bai, Zhaofang; 杜拴平 (ROCKY MT J MATH, 2011)
      Let H be an infinite dimensional complex Hilbert space and denote B(H) the Banach algebra of all bounded linear operators acting on H. It is proved that a surjective map Phi on B(H) satisfying that, for any T, S, R is an ...
    • Multiplicative *-Lie isomorphisms between factors 

      Bai, Zhaofang; Du, Shuanping; 杜拴平 (J MATH ANAL APPL, 2008-10-01)
      Let M, N be factors. If (Phi : M -> N is a multiplicative *-Lie isomorphism, then Phi is of the form sigma + tau, where sigma is a linear *-isomorphism, or a conjugate linear *-isomorphism, or the negative of a linear ...
    • Multiplicative *-Lie isomorphisms between von Neumann algebras 

      Bai, Zhaofang; Du, Shuanping; 杜拴平 (LINEAR MULTILINEAR A, 2012)
      Let M, N be von Neumann algebras with no central summands of type I-1 or I-2. If Phi : M -> N is a multiplicative *-Lie isomorphism, then there is a central projection E is an element of N such that modulo a centre-valued ...
    • Multiplicative lie isomorphisms between prime rings 

      Bai, Zhaofang; Du, Shuanping; Hou, Jinchuan; 杜拴平 (COMMUN ALGEBRA, 2008-05)
      Let R be a prime ring with 1 containing a nontrivial idempotent E, and let R' be another prime ring. If Phi : R -> R' is a multiplicative Lie isomorphism, then Phi (T + S) = Phi (T) + Phi(S) + Z'(T,S) for all T, S is an ...
    • Nonlinear maps preserving similarity on B(H) 

      Du, Shuanping; Hou, Jinchuan; Bai, Zhaofang; 杜拴平 (LINEAR ALGEBRA APPL, 2007-04-15)
      Let X be a real or complex Banach space with dimension at least 3, N-1 (X) be the family of all rank one nilpotent operators. We give the concrete form of every bijective map Phi : N-1 (X) -> N-1 (X) such that T + S is an ...
    • Quantum operations fixing a convex cone of density operators on T (H) 

      Bai, Zhaofang; Du, Shuanping; 杜拴平 (IOP PUBLISHING LTD, 2014-05-02)
      The unital quantum operation acting on infinite dimensional quantum states fixing a convex cone of density operators is completely characterized. Based on this result, we classify the commutativity of two quantum operations ...
    • The structure of nonlinear Lie derivation on von Neumann algebras 

      Bai, Zhaofang; 白朝芳; Du, Shuanping; 杜栓平 (ELSEVIER SCIENCE INC, 2012-04-01)
      Let M be a von Neumann algebra with no central summands of type l(1). If phi : M -> M is a nonlinear Lie derivation, then phi is of the form sigma + tau, where sigma is an additive derivation of M and tau is a mapping of ...