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Zbl 0787.47024
Rodriguez, Armando A.; Dahleh, Munther A.
On the computation of induced norms for non-compact Hankel operators arising from distributed control problems. (English)
[J] Syst. Control Lett. 19, No.6, 429-438 (1992). ISSN 0167-6911

Summary: This paper considers the problem of computing the induced ${\cal L}\sp 2$ norm for Hankel operators which are not necessarily compact. In the literature such a norm has traditionally been computed by solving an infinite-dimensional eigenvalue-eigenfunction problem. In this paper, it is shown that a sequence of finite-dimensional eigenvalue-eigenvector problems can be solved to estimate the desired induced norm.

MSC 2000:: *47B35 Toeplitz operators, etc.
47A30 Operator norms and inequalities

Keywords: non-compact Hankel operator; induced norm; computing the induced ${\cal L}\sp 2$ norm for Hankel operators; sequence of finite-dimensional eigenvalue-eigenvector problems

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