|
|||||
|
|
| Authors: | Pawe\l Kolwicz Ryszard Pluciennik |
| Institution: | Institute of Mathematics, Poznan University of Technology, ul. Piotrowo 3a, 60-965 Poznan, Poland ; Institute of Mathematics, Poznan University of Technology, ul. Piotrowo 3a, 60-965 Poznan, Poland |
| Abstract: | A characterization of  -convexity of arbitrary Banach space is given. Moreover, it is proved that the Orlicz-Bochner function space   is P-convex if and only if both spaces  and  are  -convex. In particular, the Lebesgue-Bochner space  with  is  -convex iff  is  -convex. |
| Keywords: | Orlicz-Bochner space $P$-convexity Orlicz space |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文 | |