谱型交换算子组的若干结果

On Some Results of Sepectral n-tuple of Commuting Operators

本文讨论Banach空间上谱型交换算子组的对偶定理、函数演算、限制和商.特别证明了在Hibert空间或L′空间(p≥1)上,交换算子组是谱型当且仅当交换算子组中每个算子是谱型的.

The present paper deals with dual theorem, functinal calculus, restriction and quotient operators; In particular, for Hilbert spaces, or L-spaces, it is proved that a n-tuple of commuting operators is spectral iff the operators in the n-tuple of commuting operators are spectral operators.