Operator Colligation Complete Characteristic Operator-Function Joint Characteristic Function Trunk
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 23, No 3-4, (1997), 313p-334p
In this paper we present some generalizations of results of M.
S. Livšic [4,6], concerning regular colligations (A1, A2, H, Φ, E, σ1, σ2, γ, ˜γ)
(σ1 > 0) of a pair of commuting nonselfadjoint operators A1, A2 with ﬁnite
dimensional imaginary parts, their complete characteristic functions and a
class Ω(σ1, σ2) of operator-functions W(x1, x2, z): E → E in the case of
an inner function W(1, 0, z) of the class Ω(σ1). ...