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Abstract. The reflexivity and transitivity of subspaces of Toeplitz operators on the Hardy space over a Jordan region --- a simply connected region in the complex plane with analytic Jordan curve as its boundary --- is investigated. The dichotomic behavior (either reflexivity or transitivity) of these subspaces is shown. It refers to the similar dichotomic behavior of subspaces of Toeplitz operators on the Hardy space over the unit disc.
DOI: 10.14232/actasm-012-343-0
AMS Subject Classification
(1991): 47L80, 47L05, 47L45
Keyword(s):
reflexive subspace,
transitive subspace,
Toeplitz operator,
Hardy space,
simply connected region
Received November 14, 2012. (Registered under 93/2012.)
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