László Kérchy

On Hyperinvariant Subspaces of Operators Containing Unilateral Shifts

Abstract The hyperinvariant subspace problem for Hilbert space operators T containing a unilateral shift is addressed. The discussion is based on a similarity model of T , which is an operator-matrix $$\widehat{T}= [T_{i,j}]_3$$ T ^ = [ T i , j ] 3 where $$T_{1,1}$$ T 1 , 1 is th...