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Generalized Toeplitz Kernels and dilations of intertwining operators

✍ Scribed by Rodrigo Arocena


Publisher
SP Birkhäuser Verlag Basel
Year
1983
Tongue
English
Weight
655 KB
Volume
6
Category
Article
ISSN
0378-620X

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Kernels of Toeplitz Operators via Bourga
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Using Bourgain's factorization theorem, we characterize the subspaces of H p , 1 p , that coincide with the kernels of Toeplitz operators. This is related to (but entirely independent of) earlier work of E. Hayashi. One consequence of our characterization is that, for some inner functions %, the cla

Generalized slant Toeplitz operators on
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For an integer k ≥ 2, k th -order slant Toeplitz operator Uϕ [1] with symbol ϕ in L ∞ (T), where T is the unit circle in the complex plane, is an operator whose representing matrix M = (αij ) is given by αij = ϕ, z ki-j , where . , . is the usual inner product in L 2 (T). The operator Vϕ denotes the