Let be a Banach space, B be the ring of all bounded linear operators defined on. Definition. Suppose T∈B and n≥2 to be a given positive integer. If for every open eovering {Gi}? of σ(T), (ⅰ) there exist invari...Let be a Banach space, B be the ring of all bounded linear operators defined on. Definition. Suppose T∈B and n≥2 to be a given positive integer. If for every open eovering {Gi}? of σ(T), (ⅰ) there exist invariant subspaces Yi of T such that σ (T|Yi)Gi(i=1,…,n) and (ⅱ) there exist operators, Ei∈B commuting展开更多
文摘Let be a Banach space, B be the ring of all bounded linear operators defined on. Definition. Suppose T∈B and n≥2 to be a given positive integer. If for every open eovering {Gi}? of σ(T), (ⅰ) there exist invariant subspaces Yi of T such that σ (T|Yi)Gi(i=1,…,n) and (ⅱ) there exist operators, Ei∈B commuting