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5 papers
The Cesaro Operator in is Essentially Normal
Uğur Gül
In this paper we prove that the Cesaro operator in , the Hilbert space of square summable sequences, is essentially normal, i.e. the commutator $[\mathcal{C…
Quasi-parabolic Composition Operators on Weighted Bergman Spaces
Uğur Gül
In this work we study the essential spectra of composition operators on weighted Bergman spaces of analytic functions which might be termed as "quasi-parabolic." This is the class…
On the C*-algebra Generated by Toeplitz Operators and Fourier Multipliers on the Hardy Space of a Locally Compact Group
Uğur Gül
Let be a locally compact abelian Hausdorff topological group which is non-compact and whose Pontryagin dual is partially ordered. Let be the semigroup of po…
Parabolic Non-Automorphism Induced Toeplitz-Composition C*-Algebras with Piece-wise Quasi-continuous Symbols
Uğur Gül
In this paper we consider the C*-algebra generated by Toeplitz operators with piece-wise quasi-continuous symbols and a co…
Essential Spectra of Quasi-parabolic Composition Operators on Hardy Spaces of the Poly-disc
Uğur Gül
This work is a generalization of the results in [Gul] to bi-disc case. As in [Gul], quasi-parabolic composition operators on the Hilbert-Hardy space of the bi-disc are written as a…