On an inequality of A.~Grothendieck concerning operators on $L^1$
| dc.creator | Rosenthal, Haskell P. | |
| dc.date | 1997-08-28 | |
| dc.date.accessioned | 2026-07-07T09:15:49Z | |
| dc.date.available | 2026-07-07T09:15:49Z | |
| dc.description | In 1955, A.~Grothendieck proved a basic inequality which shows that any bounded linear operator between $L^1(μ)$-spaces maps (Lebesgue-) dominated sequences to dominated sequences. An elementary proof of this inequality is obtained via a new decomposition principle for the lattice of measurable functions. An exposition is also given of the M.~Lévy extension theorem for operators defined on subspaces of $L^1(μ)$-spaces. | |
| dc.identifier | https://arxiv.org/abs/math/9708205 | |
| dc.identifier | http://arxiv.org/abs/math/9708205 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153146 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46E30 | |
| dc.title | On an inequality of A.~Grothendieck concerning operators on $L^1$ | |
| dc.type | text |