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Commuting operator solutions of algebraic equations. Insley, Robin Bruce

Abstract

Let X be a fixed Banach space, S a scalar type operator in B(X), and G a complex polynomial in two indeterminates. The aim of this thesis is to characterize all operators T ∊ B(X) which commute with S and satisfy the algebraic equation G(S,T) = 0.

Item Metadata

Title
Commuting operator solutions of algebraic equations.
Creator
Insley, Robin Bruce
Publisher
University of British Columbia
Date Issued
1970
Description
Let X be a fixed Banach space, S a scalar type operator in B(X), and G a complex polynomial in two indeterminates. The aim of this thesis is to characterize all operators T ∊ B(X) which commute with S and satisfy the algebraic equation G(S,T) = 0.
Genre
Thesis/Dissertation
Type
Text
Language
eng
Date Available
2011-05-11
Provider
Vancouver : University of British Columbia Library
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
DOI
10.14288/1.0080453
URI
http://hdl.handle.net/2429/34449
Degree
Master of Science - MSc
Program
Mathematics
Affiliation
Science, Faculty of; Mathematics, Department of
Degree Grantor
University of British Columbia
Campus
UBCV
Scholarly Level
Graduate
Aggregated Source Repository
DSpace

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Rights

For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.