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Essentially slant Hankel operators. (English) Zbl 1172.47020

The authors introduce the notions of essentially slant Hankel operator and compression of an essentially slant Hankel operator motivated by the definitions of essentially slant Toeplitz operator and compression of a slant Hankel operator. The basic algebraic properties of the corresponding classes of operators are derived, and it is also proved that a Rhaly operator on the Hardy space \(H^2\) is the compression of an essentially slant Toeplitz operator if and only if it is the compression of an essentially slant Hankel operator on \(H^2\).

MSC:

47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
47A20 Dilations, extensions, compressions of linear operators
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