The integration operator in two variables
Authors:
A. Atzmon and H. Manos
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
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Abstract | References | Similar Articles | Additional Information
Abstract: In this paper we consider the integration operator in two variables on ![$ {L_2}{[0,1]^2}$](images/img1.gif){kind=small}
, determine its multiplicity and reducing subspaces, and make some observations about its invariant and hyperinvariant subspaces.
- [1] Aharon Atzmon, Multilinear mappings and estimates of multiplicity, Integral Equations Operator Theory 10 (1987), no. 1, 1–16. MR 868572, https://doi.org/10.1007/BF01199792
- [2] Heydar Radjavi and Peter Rosenthal, Invariant subspaces, Springer-Verlag, New York-Heidelberg, 1973. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 77. MR 0367682
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1993-1169020-2
Keywords:
Integration operator,
multiplicity,
invariant subspace,
hyperinvariant subspace,
reducing subspace
Article copyright:
© Copyright 1993
American Mathematical Society
