The integration operator in two variables
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- by A. Atzmon and H. Manos PDF
- Proc. Amer. Math. Soc. 119 (1993), 513-523 Request permission
Abstract:
In this paper we consider the integration operator in two variables on ${L_2}{[0,1]^2}$, determine its multiplicity and reducing subspaces, and make some observations about its invariant and hyperinvariant subspaces.References
- Aharon Atzmon, Multilinear mappings and estimates of multiplicity, Integral Equations Operator Theory 10 (1987), no. 1, 1–16. MR 868572, DOI 10.1007/BF01199792
- Heydar Radjavi and Peter Rosenthal, Invariant subspaces, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 77, Springer-Verlag, New York-Heidelberg, 1973. MR 0367682
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 513-523
- MSC: Primary 47A15; Secondary 47G10
- DOI: https://doi.org/10.1090/S0002-9939-1993-1169020-2
- MathSciNet review: 1169020