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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"eomposition operators -- aanalysis"" "subject:"eomposition operators -- 2analysis""

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Commutants of composition operators on the Hardy space of the disk

Carter, James Michael 06 November 2013 (has links)
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.
Composition operator
Commutant
Hardy space
Hardy spaces -- Research
Functions of complex variables
Hilbert space
Operator theory
Function spaces -- Research
Banach algebras
Mathematical analysis
Topological algebras
Composition operators -- Analysis

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