Upper triangular operator matrices with the single-valued extension property

If A = ( A i j ) 1 ⩽ i , j ⩽ n ∈ B ( X ) is an upper triangular Banach space operator such that A i i A i j = A i j A j j for all 1 ⩽ i ⩽ j ⩽ n , then A has SVEP or satisfies (Dunfordʹs) condition ( C ) or (Bishopʹs) property ( β ) or (the decomposition) property ( δ ) if and only if A i i , 1 ⩽ i ⩽ n , has the corresponding property.