【摘要】 <正> 关于抽象的希氏空间,有著名的V.Neumann定理（可参看）如下:“在希氏空间H里存在可数个有界线性算子{A_n},对于希氏空间中任一有界线性算子A,都可以在{A_n}内选出一个子序列{A_nk}强收敛到算子A,并且{A_nk}强收敛到A”。本文将在更多还原

【Abstract】 It is well known that in a Hilbert space there exists a countable set of bounded operators {An}, such that any bounded operator T is the strong limit of its subsequence {Ank}: Ank→T; and Ank→T.The theorem proved in this paper is a realization of the above proposition.Theorem: On the space L2(a,b) there exists a countable set of degenerated integral operators {Φn}, such that for any bounded operator A,Φnk→A Φnk→Ain the sense of strong convergence, where Φnk is a subsequence of {Φn}.Now we consider the space 2(B) of analytic functions. Let Hn tend to T and Hn tend to T as stated in the above theorem; then we have furthermorei.e. we have the expansion whereψ(z), (z) balong to 2(B), H(z,t) and H(z,t) are kernels corresponding to T and T respectively.更多还原