期刊论文详细信息
Journal of the Australian Mathematical Society | |
Non-reflexive double triangles | |
W. E. Longstaff1  | |
关键词: primary 47 A 15; secondary 06 A 20; | |
DOI : 10.1017/S144678870002704X | |
学科分类:数学(综合) | |
来源: Cambridge University Press | |
【 摘 要 】
A double triangle subspace lattice in a Hilbert space H is a 5-element set of subspaces of H, containing (0) and H, with each pair of non-trivial elements intersecting in (0) and spanning H. It is shown that if any pair of non-trivial elements has a closed vector sum the double triangle is both non-reflexive and non-transitive. A double triangle in H⊕H is an operator double triangle if each non-trivial elements is the graph of an operator acting on H. A sufficient condition is given for any operator double triangle to be non-reflexive.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO201912040543554ZK.pdf | 332KB | download |