BOUNDARY REPRESENTATIONS ON CO-INVARIANT SUBSPACES OF BERGMAN SPACE

作者：He, Wei^*

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138(2): 615-622.

• NORMAL HILBERT MODULES
• K-HOMOLOGY
• SUBALGEBRAS
• ALGEBRAS

Let M be an invariant subspace of the Bergman space L(a)(2) (D) and S(M) be the compression of the coordinate multiplication operator M. to tile co-invariant subspace L2(D) E) M. The present paper determines when the a identity representation of C* (Sm) is a boundary representation for the Banach subalgebra S(SM). The paper also considers boundary representations on the co-invariant subspaces of L2 (Bn). a

• 出版日期2010-2
• 单位东南大学