A Characterization of Norm Compactness in the Bochner Space $L^p (G ; B)$ For an Arbitrary Locally Compact Group $G$
| dc.creator | Isralowitz, Josh | |
| dc.date | 2004-01-23 | |
| dc.date | 2005-11-19 | |
| dc.date.accessioned | 2026-07-07T06:35:56Z | |
| dc.date.available | 2026-07-07T06:35:56Z | |
| dc.description | In this paper, we generalize a result of N. Dinculeanu which characterizes norm compactness in the Bochner space $L^p(G ; B)$ in terms of an approximate identity and translation operators, where $G$ is a locally compact abelian group and $B$ is a Banach space. Our characterization includes the case where $G$ is nonabelian, and we weaken the hypotheses on the approximate identity used, providing new results even for the case $B = \mathbb{C}$ and $G = \mathbb{R}^n.$ | |
| dc.description | 13 pages, accepted into the "Journal of Mathematical Analysis and Applications." | |
| dc.identifier | https://arxiv.org/abs/math/0401333 | |
| dc.identifier | http://arxiv.org/abs/math/0401333 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99945 | |
| dc.subject | Functional Analysis | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 28-xx, 46-xx | |
| dc.title | A Characterization of Norm Compactness in the Bochner Space $L^p (G ; B)$ For an Arbitrary Locally Compact Group $G$ | |
| dc.type | text |