东北数学（英文版）
東北數學（英文版）
동북수학（영문판）
NORTHEASTERN MATHEMATICAL JOURNAL
2006年
2期
155-166
,共12页
Hermitian holomorphic vector bundle%orthogonal decomposition%uniqueness of HIR decomposition%Cowen-Douglas operator%finite dimensional C*-algebra
Let f: Ω→ Gr(n, H) be a holomorphic curve, where Ω is a bounded open simple connected domain on the complex plane C and Gr(n, H) the Grassmannian manifold. Denote by Ef the "pull back" bundle induced by f. We show the uniqueness of the orthogonal decomposition for those complex bundles. As a direct application, we give a complete description of the HIR decomposition of a CowenDouglas operator T ∈ Bn(Ω). Moreover, we compute the maximal self-adjoint subalgebra of A'(Ef) and A'(T) respectively. Finally, we fix the masa of A'(Ef) and A'(T) which depends on the HIR decomposition of Ef or T respectively.
