Operator Matrices:Single Valued Extension Property and Browder Spectrum
Huaijie Zhong · Journal of Fujian Normal University · 2008
For A∈B(X),B∈B(Y),C∈B(Y,X),let MC be the operator defined on XY by {AC 0B}.Give some sufficient conditions for the equality σ(Mc)=σ(A)∪σ(B)(where σ∈{σb,σw,σD}) to be hold by means of local spectral theory.Also give some examples to illustrate that results are different from the conditions given by Djordjevic S.V.,Zguitti H.and the conditions given by Zhang Y.N..