作者:Xin; Hui; WANG; Guo; Xing; JIpartialorderdiamondproductoftwoprojectionsautomorphism
摘要:Let H be a complex Hilbert space with dim H ≥ 3 and B(H) the algebra of all bounded linear opera tors on H. Let ≤° be the diamond order on B(H), that is, for A, B ∈B(H), we say that A ≤° B if R(A)■ R(B), R(A^*)■ R(B^*) and AA^*A= AB^*A. Put Λ={PQ : P、Q ∈B(H) are projections}. In this paper, the relationship between Λ and ≤° is revealed and then the form of automorphisms of the poset (Λ,≤°) is given.
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