Abstract
Let \({L_0^\infty(G)}\) be the Banach space of all essentially bounded measurable functions on a locally compact group G vanishing at infinity. In this paper, we describe maximal and minimal left ideals in the Banach algebra \({L_0^\infty(G)^*}\) equipped with an Arens type product. We also investigate some spectral properties of \({L_0^\infty(G)^*}\).
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Maghsoudi, S., Nasr-Isfahani, R. On the Maximal and Minimal Left Ideals of Certain Banach Algebras on Locally Compact Groups. Results. Math. 62, 157–165 (2012). https://doi.org/10.1007/s00025-011-0136-7
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DOI: https://doi.org/10.1007/s00025-011-0136-7