WEAK\star- INVARIANTLY COMPLEMENTED SUBSPACES OF L^{\infty}(1/\omega) AND IDEALS OF L^{1}(\omega) WITH A BOUNDED APPROXIMATE IDENTITY

Authors

Z. ARGÜN
C. TONYALI

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.

DOI

-

First Page

413

Last Page

423

Recommended Citation

ARGÜN, Z, & 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 20 (3): 413-423. https://doi.org/-