✦ LIBER ✦
Partial Inner Product Structures on Certain Topological Vector Lattices
✍ Scribed by J. P. Antoine; G. Lassner
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 497 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
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 partial inner product space.