Endomorphisms, composition operators and Cuntz families

If b is an inner function and T is the unit circle, then composition with b induces an endomorphism, β, of L1(T) that leaves H1(T) invariant. In this document we investigate the structure of the endomorphisms of B(L2(T)) and B(H2(T)) that implement by studying the representations of L1(T) and H1(T)...

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Bibliographic Details
Main Author: Schmidt, Samuel William
Other Authors: Muhly, Paul S.
Format: Others
Language:English
Published: University of Iowa 2010
Subjects:
Online Access:https://ir.uiowa.edu/etd/597
https://ir.uiowa.edu/cgi/viewcontent.cgi?article=1782&context=etd