【摘要】 设N为Hilbert空间H上的Nest,满足H-≠H,N-≠N( N∈N),则Nest代数algN上保秩乘法映射φ具有形式:φ(T)=ATA-1, T∈algN,其中A为线性或共轭线性有界可逆算子。更多还原

【Abstract】 Let N be a Nest on a Hilbert space H which has satisfied H-≠H,N-≠N(for arbitrary N in N ),then we give out the form of rankpreserving multiplicative mapping φ on nest algebra,it is :φ(T)=ATA-1 for every T∈alg N,where A is a linear or conjugate linear bounded invertible operator.更多还原