自反代数的可加导子

Additive derivations of reflexive algebras

设Ａ为Ｂａｎａｃｈ空间Ｘ中一自反代数，使得在ＬａｔＡ中Ｏ＋≠Ｏ且Ｘ－≠Ｘ，则每一可加导子δ∶Ａ→Ｂ（Ｘ）具有形式δ（Ａ）＝ＴＡ－ＡＴ．

Let A be a reflex ive algeb ra in Banach space X such that O +≠O and X -≠X in Lat A,then every additive derivation δ:A→B(X) is of the for m δ(A)=TA-AT for some T∈B(X)