It was shown by Fillmore in [1] that linear transformations ?A? and ?T? on a Banach space, with ?A? bounded. If Lat(?A?)?Lat?(T)? under what conditions and ?T? commutes with ?A?, then ?T? is a polynominal in ?A?.

 
  • Fillmore在[1]中得到一個(gè)定理:設A;T是Banach空間X上的線(xiàn)性變換;A有界;若Lat(A) Lat(T)且AT=TA;則T是A的多項式.
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