Abstract:

Let N be a nest of a complex separable Hilbert space H and τ(N) be a nest algebra associated with N. Using the theory of functional identity, the authors have prove
d that every (α,β)biderivation on τ(N) is of the formΔ(U,V)=A［U,V］T^-1 for all U,V∈τ(N) if dim 0⁺≠1 or dim H_⊥^-≠1.

Key words: nest algebra, (α,β)-derivation, (α,β)-biderivation