5 citations · 8 across the 3 of their papers we have counts for
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math.FA2009★ 1 cited
Eigenfunctions for Hyperbolic Composition Operators--Redux
Joel H. Shapiro
The Invariant Subspace Problem ("ISP") for Hilbert space operators is known to be equivalent to a question that, on its surface, seems surprisingly concrete: For composition operat…
math.FA2008★ 2 cited
Intertwining relations and extended eigenvalues for analytic Toeplitz operators
Paul S. Bourdon, Joel H. Shapiro
We study the intertwining relations between analytic Toeplitz operators induced on the Hardy space H^2 by analytic functions bounded on the open unit disc. Our work centers on the…
math.FA2008★ 5 cited
Adjoints of rationally induced composition operators
Paul S. Bourdon, Joel H. Shapiro
We give an elementary proof of a formula recently obtained by Hammond, Moorhouse, and Robbins for the adjoint of a rationally induced composition operator on the Hardy space H^2. W…