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- W2379510064 abstract "The notion of a complete random inner product module is a random generalization of that of a Hilbert space.The Hellinger-Toeplistz theorem in Hilbert spaces is a basic and useful tool for linear operators.In this paper,the basic theorem was generalized onto complete random inner product modules,and the following conclusion was achieved.i.e.,Let(S,χ) be a complete random inner product module and T:SS a module homomorphism such that X_(Tp,q)=X_(p,Tq),p,q∈S.Then T was almost everywhere bounded.It should be pointed out that the present work is based on the newly-developed theory of random conjugate spaces,in particular on the Riesz representation theorem on complete random inner product modules." @default.
- W2379510064 created "2016-06-24" @default.
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- W2379510064 date "2006-01-01" @default.
- W2379510064 modified "2023-10-18" @default.
- W2379510064 title "The Hellinger-Toeplistz Theorem in Complete Random Inner Product Modules" @default.
- W2379510064 hasPublicationYear "2006" @default.
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