✦ LIBER ✦

Completeness in Topological Vector Lattices

✍ Scribed by Casper Goffman

Book ID: 120975723
Publisher: Mathematical Association of America
Year: 1959
Tongue: English
Weight: 779 KB
Volume: 66
Category: Article
ISSN: 0002-9890
DOI: 10.2307/2310004

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We study the order structure iiiduced on a rigged HILBERT space 9 c X c9' by a self-dual cone in X. Under the assumption that 3 is a semi-reflexive IocaIIy convex vector lattice. and ii solid subset of 9' (we speak then of H rigged HII.BERT lattice), we show that 9' is in fact a nondegenerate parti