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Singular values of products of positive operators: AZB and ZAB

โœ Scribed by Jean-Christophe Bourin


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
190 KB
Volume
407
Category
Article
ISSN
0024-3795

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The singular values and singular functions of the convolution operator Ko= fo'K(x-y)'dy, O<-x <-I. are studied under the conditions that K(u) is mildly smooth and K(0) ~ 0. It is shown that these singular values and functions are asymptotic to those of the operator with K(u) -= I. A study of the ke

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It is widely recognized that the computation of gap metric is equivalent to a certain two-block H โˆž problem, i.e., the gap is equal to the norm of a certain two-block operator. However, it can also be characterized as the smallest singular value of a certain Toeplitz operator. This paper derives a s