| The Completeness of LX1(μ,Σ) |
| Received:March 29, 1992 |
| Key Words:
locally convex Fréchet space, generalized Bochner integral, completeness
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| Abstract: |
| Let X be a locally convex Fréchet space, and (Ω,Σ,μ) a finite nonegative measure space. In this paper, we show that LX1(μ,Σ) is complete, and so it is a locally convex Fréchet space. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1995.05.009 |
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