Spectral theory of composition operators on hardy spaces of the unit disc and of the upper half-plane

Download

index.pdf

Date

2007

Author

Gül, Uğur

Metadata

Show full item record

Item Usage Stats

126
views

51
downloads

In this thesis we study the essential spectrum of composition operators on the Hardy space of the unit disc and of the upper half-plane. Our starting point is the spectral analysis of the composition operators induced by translations of the upper half-plane. We completely characterize the essential spectrum of a class of composition operators that are induced by perturbations of translations.

Subject Keywords

Composition operators.

URI

http://etd.lib.metu.edu.tr/upload/3/12608251/index.pdf
https://hdl.handle.net/11511/17077

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

Isovector axial vector and pseudoscalar transition form factors of Delta in QCD KÜÇÜKARSLAN, AYŞE; Ozdem, U.; Özpineci, Altuğ (2014-09-03) We investigate the isovector axial vector and pseudoscalar form factors of Delta baryon by employing light-cone QCD sum rules. Numerical calculations show that the form factors can be well fitted by the exponential form. We make a comparison with the predictions of lattice QCD, chiral perturbation theory and quark model.
ON OPERATORS OF STRONG TYPE B Alpay, Safak (2012-10-01) We discuss operators of strong type B between a Banach lattice and a Banach space and give necessary and sufficient conditions for this class of operators to coincide with weakly compact operators.
On some consequences of the isomorphic classification of cartesian products of locally convex spaces Kızgut, Ersin; Yurdakul, Murat Hayrettin; Department of Mathematics (2016) This thesis takes its motivation from the theory of isomorphic classification of Cartesian products of locally convex spaces which was introduced by V. P. Zahariuta in 1973. In the case $X_1 times X_2 cong Y_1 times Y_2$ for locally convex spaces $X_i$ and $Y_i,i=1,2$; it is proved that if $X_1,Y_2$ and $Y_1,X_2$ are in compact relation in operator sense, it is possible to say that the respective factors of the Cartesian products are also isomorphic, up to their some finite dimensional subspaces. Zahariuta ...
Differential - Operator solutions for complex partial differential equations Celebi, O; Sengul, S (1998-07-10) The solutions of complex partial differential equations of order four are obtained by using polynomial differential operators. A correspondence principle is also derived for the solutions of two different differential equations, imposing conditions on the coefficients.
Direct numerical simulation of pipe flow using a solenoidal spectral method Tugluk, Ozan; Tarman, Işık Hakan (2012-05-01) In this study, a numerical method based on solenoidal basis functions, for the simulation of incompressible flow through a circular-cylindrical pipe, is presented. The solenoidal bases utilized in the study are formulated using the Legendre polynomials. Legendre polynomials are favorable, both for the form of the basis functions and for the inner product integrals arising from the Galerkin-type projection used. The projection is performed onto the dual solenoidal bases, eliminating the pressure variable, si...

Citation Formats

U. Gül, “Spectral theory of composition operators on hardy spaces of the unit disc and of the upper half-plane,” Ph.D. - Doctoral Program, Middle East Technical University, 2007.