The Unitary Orbit of Strongly Irreducible Operators in the Nest Algebra with Well-Ordered Set

摘要

Let H be a complex, separable, infinite-dimensional Hilbert space; L(H), K(H) denote (respectively) the algebra of all bounded linear operators acting on H and the ideal of all compact operators. Let σ_0(T) denote the isolated eigenvalues of T of finite multiplicity. If λ belongs to σ_0(T), let E_T{λ} denote the Riesz projection corresponding to the eigenspace for λ. When X is a compact subset of the plane, let X denote the polynomially convex hull of X.