تقرير
On $p$-Dunford integrable functions with values in Banach spaces
العنوان: | On $p$-Dunford integrable functions with values in Banach spaces |
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المؤلفون: | Calabuig, J. M., Rodríguez, J., Rueda, P., Sánchez-Pérez, E. A. |
سنة النشر: | 2016 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Functional Analysis, 28B05, 46G10 |
الوصف: | Let $(\Omega,\Sigma,\mu)$ be a complete probability space, $X$ a Banach space and $1\leq p<\infty$. In this paper we discuss several aspects of $p$-Dunford integrable functions $f:\Omega \to X$. Special attention is paid to the compactness of the Dunford operator of $f$. We also study the $p$-Bochner integrability of the composition $u\circ f:\Omega \to Y$, where $u$ is a $p$-summing operator from $X$ to another Banach space $Y$. Finally, we also provide some tests of $p$-Dunford integrability by using $w^*$-thick subsets of $X^*$. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/1611.08087 |
رقم الأكسشن: | edsarx.1611.08087 |
قاعدة البيانات: | arXiv |
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