A vector-valued daniell type integral
A vector-valued integral is constructed for functions with ranges in a. Banach space. This was done by_extending a real valued Daniell functional to a. vector valued functional using absolutely convergent series. Attractive features of this method include simplicity of definition, a fast and natural development of the theory, and the general nature of the construction. In addition, a suggestion is made on how this construction may allow for a rigorous definition of the Feynman path integral and other functional integrals of importance in quantum and mathematical physics.
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Bachelor of Science (B.S.)
College of Arts and Sciences
Arts and Sciences -- Dissertations, Academic;Dissertations, Academic -- Arts and Sciences
Length of Campus-only Access
Honors in the Major Thesis
De Lia, Anthony Francis, "A vector-valued daniell type integral" (1993). HIM 1990-2015. 27.