Author Type

Graduate Student

Date of Award

1976

Document Type

Thesis

Publication Status

Version of Record

Submission Date

October 2026

Abstract

We analyze some topics of the theory of integration in infinite dimensional vector spaces. In the first five chapters we deal mainly with I. E. Segal's approach to integration in Hilbert spaces and prove the existence of the canonical normal distribution in a Hilbert space; we also give a simplified proof of Segal's version of the Plancherel Theorem. In the last chapter we discuss a theorem due to A. M. Gleason relevant to separable Hilbert spaces. We deduce that the behavior of measures on finite dimensional subspaces determines the behavior of the measures in a separable Hilbert space.

Extent

59 p.

Comments

Thesis (M.S.)--Florida Atlantic University, 1976.|Thesis (M.S.)--Florida Atlantic University, 1976.

Identifier

FADT13791

Format

pdf

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