The Haar functions almost diagonalize multiplication by $x$
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- by Joel Anderson PDF
- Proc. Amer. Math. Soc. 73 (1979), 361-362 Request permission
Abstract:
It is shown that if A is multiplication by x on ${L^2}(0,1)$, then the matrix for A given by the Haar functions has the form diagonal plus Hilbert-Schmidt.References
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J. von Neumann, Characterisierung des Spectrums eines Integraloperators, Hermann, Paris, 1935.
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 73 (1979), 361-362
- MSC: Primary 47B38; Secondary 47A55
- DOI: https://doi.org/10.1090/S0002-9939-1979-0518520-7
- MathSciNet review: 518520