Numerical Ranges and Commutation Properties of Hilbert Space Operators
<p>Application of the theory of numerical ranges to the study of commutation properties of operators is the purpose of the thesis.</p> <p>For a complex, unital Banach algebra ℝ, T ∈ ℝ, the numerical range of T is V(ℝ, T) = {f(T) :f(1) = 1 = ∥f∥, f ∈ ℝ*}. This is a generalization...
Main Author: | |
---|---|
Format: | Others |
Language: | en |
Published: |
1974
|
Online Access: | https://thesis.library.caltech.edu/14076/1/Richard_BK_1974.pdf Richard, Bruce Kent (1974) Numerical Ranges and Commutation Properties of Hilbert Space Operators. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/0j1k-nr94. https://resolver.caltech.edu/CaltechTHESIS:02042021-163138095 <https://resolver.caltech.edu/CaltechTHESIS:02042021-163138095> |
Internet
https://thesis.library.caltech.edu/14076/1/Richard_BK_1974.pdfRichard, Bruce Kent (1974) Numerical Ranges and Commutation Properties of Hilbert Space Operators. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/0j1k-nr94. https://resolver.caltech.edu/CaltechTHESIS:02042021-163138095 <https://resolver.caltech.edu/CaltechTHESIS:02042021-163138095>