Characterization of a Hilbert vector lattice by the metric projection onto its positive cone

✍ Scribed by A.B. Németh

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 117 KB
• Volume: 123
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1016/s0021-9045(03)00087-x

✦ Synopsis

If H is a real Hilbert space, K is a closed, generating cone therein and P K is the metric projection onto K; then the following two conditions 1 and 2 are equivalent:

1. (i) P K is isotone: y À xAK ) P K ðyÞ À P K ðxÞAK and (