How Banach space-valued functions are used in Machine Learning part3

<p>We present a generalization of the Radon-Riesz property to sequences of continuous functions with values in uniformly convex and uniformly smooth Banach spaces.</p> <p>2. On p-Dunford integrable functions with values in Banach spaces(arXiv)</p> <p>&nbsp;</p> <p>Abstract : Let (&Omega;,&Sigma;,&mu;) be a complete probability space, X a Banach space and 1&le;p&lt;&infin;. In this paper we discuss several aspects of p-Dunford integrable functions f:&Omega;&rarr;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∘f:&Omega;&rarr;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&lowast;-thick subsets of X</p> <p><a href="https://medium.com/@monocosmo77/how-banach-space-valued-functions-are-used-in-machine-learning-part3-350e9a77361">Click Here</a></p>