Bishop's property, SVEP and Dunford Property
Salah Mecheri · Electronic Journal of Linear Algebra · 2012
If S, T ∈ B(H) have Bishop's property (β), does S + T have Bishop's property (β)?In this paper, a special case of this question is studied.Also given are a necessary and sufficient condition for a 2 × 2 operator matrix to have Bishop's property (β).Finally, the Helton class of an operator which has Bishop's property (β) is studied.