Date of Award

2008

Document Type

Thesis

Degree Name

Master of Arts in Mathematics

Department

Mathematics

First Advisor

Kakihara, Yuichiro

Second Advisor

Ventura, Belisario

Third Advisor

Stanton, Charles

Abstract

This thesis reviews some of the major topics in elementary Hilbert space theory. The theory of operators is developed by providing details regarding several types of operators, in particular compact operators. This study of compact operators is the start of the refinement of bounded linear operators to those which are also members of the Schatten p-class operators.

Included in

Mathematics Commons

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