Browder theorem of upper-triangular operator matrices
Duan Ying-tao · jOURNAL OF southwest University for Nationalities · 2010
This paper mainly explores Browder’s theorem of upper triangular operater matrix acting on Hilbert space.A sufficiency condition is given that if Browder’s theorem holds for 2 × 2 diagonal operator matrix,then Browder’s theorem holds for 2 × 2 upper triangular operater matrix.The result generalizes the conclusion in [7].Moreover,the above result is also generalized n × n to upper triangular operater matrix.