Abstract
We introduce a certain property of commutative Banach algebras which we call property . We prove that every bounded disjointness-preserving linear map from a commutative Banach algebra with the aforesaid property to any semisimple, commutative Banach algebra is a weighted composition map. Further, it is shown that a variety of important Banach algebras in harmonic analysis have the property .
Citation
J. Alaminos. J. Extremera. A. R. Villena. "Disjointness-preserving linear maps on Banach function algebras associated with a locally compact group." Ann. Funct. Anal. 7 (3) 442 - 451, August 2016. https://doi.org/10.1215/20088752-3605573
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