SYSTEMS OF COMMUTING OPERATORS HAVING σ'-SPECTRAL CAPACITIES

Let X be a Banach space and a=（a1, … aN）（X） a commuting system. a is said to have a σ′-spectral capacity （resp. m-σ′spectral capacity）, if it has a spectra capacity （resp. m-spectral capacity） E such that there are {b1}（?）（E（F）） commuting with a|E（F）