07-115 Tepper L Gill and Woodford W Zachary

A New Class of Banach Spaces (33K, amsart) May 5, 07

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Abstract. In this paper, we construct a new class of separable Banach spaces ${\mathbb{KS}}^p$, which parallel the standard $L^p$ spaces, but contains each of these spaces, as well as the space of finitely additive measures, as compact dense embeddings. Equally important is the fact that these spaces contain all Henstock-Kurzweil integrable functions and, in particular, the Feynman kernel and the Dirac measure, as norm bounded elements.

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