NDLI: Completion in the bidual

Content Provider	Scilit
Author	Nielsen, R.
Copyright Year	1968
Description	Let E, Ê, and E′ denote a locally convex linear Hausdorff space, completion of E and the dual of E, respectively. It has been observed that Ê is a subspace of E″ under certain conditions on E. It is the primary goal of this paper to give necessary and sufficient conditions for the Ê ⊂ E″ to be valid. Such conditions are found and are given Theorem 4. With a variation of the technique used, several equivalent characterizations of semi-reflexive spaces are given in Theorem 5. The nationa throughtout will follow that in [2].
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/CF47314B70C43CE0A6B040F95A06F11A/S1446788700005292a.pdf/div-class-title-completion-in-the-bidual-div.pdf
Ending Page	241
Page Count	4
Starting Page	238
ISSN	00049735
DOI	10.1017/s1446788700005292
Journal	Journal of the Australian Mathematical Society
Issue Number	2
Volume Number	8
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1968-05-01
Access Restriction	Open
Subject Keyword	Journal of the Australian Mathematical Society Applied Mathematics
Content Type	Text
Resource Type	Article

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Completion in the bidual