Norms of powers of the Volterra operator |
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| Authors: | Lao Norman Whitley Robert |
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| Affiliation: | (1) The Aerospace Corporation, Box 92957, 90009-2957 Los Angeles, CA;(2) Department of Mathematics, University of California, 92697-3875 Irvine, CA |
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| Abstract: | ![]()
The norms of them-th powers of the Volterra operatorV onL2[0, 1] are computed form=1,...,10. These numbers suggest that the sequencem! V is bounded above and below, which is shown, and that this sequence converges to 1/2, which is conjectured. |
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| Keywords: | Primary Classification: 47G10 47A30 47-04 Secondary Classification: 45-04 47B35 |
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