A class of nearly commuting projections

• Main Author: Sespene, Elucila Macatangay
• Format: text
• Language: English
• Published: Animo Repository 1996
• Subjects: Projection; Vector spaces; Linear programming; Transformations (Mathematics); Algebra, Boolean; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/etd_masteral/1757; https://animorepository.dlsu.edu.ph/context/etd_masteral/article/8595/viewcontent/TG02546_F_Partial.pdf
• Institution: De La Salle University

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.