A closed infinite-dimensional reflexive left invariant subspace of $L_{\infty }(G)$
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- by Robert A. Bekes PDF
- Proc. Amer. Math. Soc. 85 (1982), 487-488 Request permission
Abstract:
We give an example of a locally compact group $G$, for which ${L_\infty }(G)$ has a closed infinite dimensional reflexive left invariant subspace.References
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N. Dunford and J. T. Schwartz, Linear operators, Part I, Interscience, New York, 1958.
- I. Glicksberg, Reflexive invariant subspaces of $L^{\infty }(G)$ are finite dimensional, Math. Scand. 47 (1980), no. 2, 308–310. MR 612703, DOI 10.7146/math.scand.a-11892
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 85 (1982), 487-488
- MSC: Primary 43A15
- DOI: https://doi.org/10.1090/S0002-9939-1982-0656130-1
- MathSciNet review: 656130