Turkish Journal of Mathematics
DOI
-
Abstract
For a locally compact group G let L^{1}(\omega) be the weighted group algebra and let X be a weak \star-closed translation invariant subspace of L^{\infty} (1/\omega). In this paper for a certain class of functions we show that the following conditions are equivalent: (i) X is topological invariantly complemented in L^{\infty}(1/\omega); (ii) X is invariantly complemented in L^{\infty}(1/\omega); (iii) The left ideal X_{\perp} has a bounded right approximate identity.
First Page
413
Last Page
423
Recommended Citation
ARGÜN, Z. and TONYALI, C. (1996) "WEAK\star- INVARIANTLY COMPLEMENTED SUBSPACES OF L^{\infty}(1/\omega) AND IDEALS OF L^{1}(\omega) WITH A BOUNDED APPROXIMATE IDENTITY," Turkish Journal of Mathematics: Vol. 20: No. 3, Article 12. Available at: https://journals.tubitak.gov.tr/math/vol20/iss3/12
