Date of Publication

11-1996

Document Type

Master's Thesis

Degree Name

Master of Science in Mathematics

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Aurora S. Trance

Defense Panel Chair

Severino V. Gervacio

Defense Panel Member

Severino D. Diesto
Edmundo Perez, Jr.

Abstract/Summary

This thesis is an exposition of the articles Nearly Commuting Projections and Subsets of Nearly Commuting Projections by Alan C. Wilde. The concept of nearly commuting projections is an extension of the concept of commuting projectios. Some of the basic properties of nearly commuting projections, the special operators on nearly commuting projections, and their properties are presented here in a more comprehensible mathematical language. Operations on those special operators are also defined and showed that it is possible to form a Boolean Algebra out of them. Some basic concepts in Linear Algebra and Boolean Algebra that are relevant to this work are presented and discussed. These include vector spaces, linear transformations and matrices, projections, Boolean Algebra and its properties, partial ordering, and homomorphism and isomorphism of Boolean Algebras.

Abstract Format

html

Language

English

Format

Electronic

Accession Number

TG02546

Shelf Location

Archives, The Learning Commons, 12F Henry Sy Sr. Hall

Physical Description

172 leaves

Keywords

Projection; Vector spaces; Linear programming; Transformations (Mathematics); Algebra, Boolean

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