Journals / Turkish Journal of Mathematics / 1999 / Cilt: 23 - Sayı: 3
The Isometries of the Bochner Space Lp(m,H)
- Pages
- 389–400
- DOI
- —
Abstract
In this article, the known characterization of the surjective linear isometries of the Bochner space Lp(m, H), for a s-finite measure m and an arbitrary Hilbert space H, in terms of regular set isomorphisms of the s-algebra involved and strongly measurable families of surjective isometries of H, is extended to arbitrary measures.
Özet
In this article, the known characterization of the surjective linear isometries of the Bochner space Lp(m, H), for a s-finite measure m and an arbitrary Hilbert space H, in terms of regular set isomorphisms of the s-algebra involved and strongly measurable families of surjective isometries of H, is extended to arbitrary measures.