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A Generalization of the Conjugate Hankel Operator

✍ Scribed by Rooney, P. G.


Book ID
120095221
Publisher
Oxford University Press
Year
1982
Tongue
English
Weight
167 KB
Volume
s2-26
Category
Article
ISSN
0024-6107

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We introduce a class of operators, called l-Hankel operators, as those that satisfy the operator equation S g X -XS=lX, where S is the unilateral forward shift and l is a complex number. We investigate some of the properties of l-Hankel operators and show that much of their behaviour is similar to t

Generalized Hankel operators on the Fock
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## Abstract In this paper we study generalized Hankel operators ofthe form : β„±^2^(|__z__ |^2^) β†’ __L__^2^(|__z__ |^2^). Here, (__f__):= (Id–P~__l__~ )($ \bar z $^k^__f__) and P__l__ is the projection onto __A__~__l__~ ^2^(β„‚, |__z__ |^2^):= cl(span{$ \bar z $^__m__^ __z^n^__ | __m__, __n__ ∈ __N__,