This paper investigates the asymptotic decay of the singular values of compact operators arising from the Weyl correspondence. The motivating problem is to find sufficient conditions on a symbol which ensure that the corresponding operator has singular values with a prescribed rate of decay. The pro
โฆ LIBER โฆ
On the Singular Values of a Product of Operators
โ Scribed by Bhatia, Rajendra; Kittaneh, Fuad
- Book ID
- 118202308
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1990
- Tongue
- English
- Weight
- 467 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0895-4798
- DOI
- 10.1137/0611018
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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