On commutativity of weighted Hankel operators and their spectra
2015 ◽
Vol 18
(03)
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pp. 1550017
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In this paper, we describe the conditions on which the nonzero weighted Hankel operators [Formula: see text] and [Formula: see text] on H2(β) induced by ϕ ∈ L∞(β) and ψ ∈ L∞(β) respectively commute, where β = {βn}n∈ℤ is a sequence of positive numbers with β0 = 1. Spectrum of the weighted Hankel operator [Formula: see text], when ϕ(z) = az-1 + bz-2, is computed and it is also shown that the Weyl's theorem holds for the compact weighted Hankel operators.
2001 ◽
Vol 25
(1)
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pp. 19-31
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1975 ◽
Vol 78
(3)
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pp. 447-450
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1981 ◽
Vol 89
(1-2)
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pp. 17-24
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1986 ◽
Vol 28
(1)
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pp. 47-54
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2006 ◽
Vol 2006
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pp. 1-3
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