Journal of Operator Theory

Volume 66, Issue 2, Fall 2011 pp. 415-424.

Orbit reflexivity of compositions on weighted Hardy--Hilbert spaces

Authors: Aharon Atzmon (1), Dvir Kleper (2), Ali Mahvidi (3), and Peter Rosenthal (4)
Author institution: (1) School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, 69978, Israel
(2) Department of Mathematics, University of Toronto, Toronto, M5S2E4, Canada
(3) New York, USA
(4) Department of Mathematics, University of Toronto, Toronto, M5S2E4, Canada

Summary: We establish orbit reflexivity of composition operators and their adjoints acting on a special family of weighted Hardy-Hilbert spaces.

Keywords: composition operators, weighted Hardy--Hilbert spaces, reproducing kernels, orbit reflexivity, multiplier space

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