An Extension of the Spectral Mapping Theorem

A. R. Medghalchi, S. M. Tabatabaie
2008 International Journal of Mathematics and Mathematical Sciences  
We give an extension of the spectral mapping theorem on hypergroups and prove that if is a commutative strong hypergroup with and is a weakly continuous representation of on a -algebra such that for every , is an -automorphism, is a synthesis set for and is without order, then for any in a closed regular subalgebra of containing , , where is the Arveson spectrum of .
doi:10.1155/2008/531424 fatcat:4dypzss6mnacxk27rwwm2q27qi