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Commutants of composition operators on the Hardy space of the disk

Indiana University-Purdue University Indianapolis (IUPUI) / The main part of this thesis, Chapter 4, contains results on the commutant of a semigroup of operators defined on the Hardy Space of the disk where the operators have hyperbolic non-automorphic symbols. In particular, we show in Chapter 5 that the commutant of the semigroup of operators is in one-to-one correspondence with a Banach algebra of bounded analytic functions on an open half-plane. This algebra of functions is a subalgebra of the standard Newton space. Chapter 4 extends previous work done on maps with interior fixed point to the case of the symbol of the composition operator having a boundary fixed point.

Identiferoai:union.ndltd.org:IUPUI/oai:scholarworks.iupui.edu:1805/3659
Date06 November 2013
CreatorsCarter, James Michael
ContributorsCowen, Carl C., Klimek, Slawomir, Perez, Rodrigo A., Chin, Raymond, Bell, Steven R., Mukhin, Evgeny
Source SetsIndiana University-Purdue University Indianapolis
Languageen_US
Detected LanguageEnglish

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