A vector-valued daniell type integral

Abstract

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.

Notes

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Thesis Completion

1993

Semester

Summer

Advisor

Mikusinski, Piotr

Degree

Bachelor of Science (B.S.)

College

College of Arts and Sciences

Degree Program

Mathematics

Subjects

Arts and Sciences -- Dissertations, Academic;Dissertations, Academic -- Arts and Sciences

Format

Print

Identifier

DP0020853

Language

English

Access Status

Open Access

Length of Campus-only Access

None

Document Type

Honors in the Major Thesis

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