singular value decomposition of the volterra operator

Asked May 05 '19 at 05:15

Active May 05 '19 at 06:12

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Can anyone help me to this question?

Compute the singular value decomposition of the Volterra operator

$Tu(x) = \int_{0}^{x} u (s) ds$ in $L^2(0,1)$ and use it to find $\|T\|$. Is $T$ normal ?

Thank you

edited May 05 '19 at 06:12

logarithm

asked May 05 '19 at 05:15

nmb

i try to do like this https://math.stackexchange.com/questions/2330786/singular-value-decomposition-of-a-specific-integraloperator but i dont understand the eigenvalue and eigenfunctions calculate. therefore i couldnt continue for singular value decomposition operations – nmb May 05 '19 at 07:36
@nmb The calculations in the question body of the question you link are wrong. I added an answer with the correct calculations. – ViktorStein Mar 23 '20 at 21:46

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