Let MX=(A C X B )be a 2×2 operator matrix acting on the Hilbert space H+K. For given A∈B(H),B∈B(K)and C∈B(K,H)the set UX∈B(H,K)^σe(MX)is determined, whereσe(T)denotes the essential spectrum.
基金Foundation item: the National Natural Science Foundation of China (No. 10726043).
文摘Let MX=(A C X B )be a 2×2 operator matrix acting on the Hilbert space H+K. For given A∈B(H),B∈B(K)and C∈B(K,H)the set UX∈B(H,K)^σe(MX)is determined, whereσe(T)denotes the essential spectrum.