| Title | Approximation numbers = singular values |
| Authors | Christer Bennewitz |
| Alternative Location | http://dx.doi.org/10.1016/j..., Restricted Access |
| Publication | Journal of Computational and Applied Mathematics |
| Year | 2007 |
| Volume | 208 |
| Issue | 1 |
| Pages | 102 - 110 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Elsevier |
| Abstract English | This paper introduces a generalisation of the notion of singular value for Hilbert space operators to more general Banach spaces. It is shown that for a simple integral operator of Hardy type the singular values are the eigenvalues of a non-linear Sturm-Liouville equation and coincide with the approximation numbers of the operator. Finally, asymptotic formulas for the singular numbers are deduced. (c) 2006 Published by Elsevier B.V. |
| Keywords | Pruefer transform, eigenvalue, generalised trigonometric function, asymptotics, Bernstein width, Sturm-Liouville, |
| ISBN/ISSN/Other | ISSN: 0377-0427 |
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