The Second Duals of the Normed Linear Spaces
Received:January 28, 1981  
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Li Ronglu Harbin Institute of Technology 
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Abstract:
      Theorem. A mapping x** of X* into sealar field Φ is a linear functional if and only if there exists a μ∈ba(S) such that X**(X*)=∫sx*(s)μ(ds),x*∈X* Theorem. F∈ba(S.Σ)* if and only if there exists a λ∈ba (T) (T is the closed unit sphere of the space B(S,Σ))such that F(μ)=∫(∫st(s)μ(ds))λ(dt),μ∈ba(S,Σ).
Citation:
DOI:10.3770/j.issn:1000-341X.1981.02.005
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