In this note we define and explore, à la Godement, spectral subspaces of Banach space representations of the Fourier-Eymard algebra of a (nonabelian) locally compact group.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-2-2, author = {K. Parthasarathy and R. Prakash}, title = {Spectral subspaces for the Fourier algebra}, journal = {Colloquium Mathematicae}, volume = {107}, year = {2007}, pages = {179-182}, zbl = {1120.43001}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-2-2} }
K. Parthasarathy; R. Prakash. Spectral subspaces for the Fourier algebra. Colloquium Mathematicae, Tome 107 (2007) pp. 179-182. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-2-2/