Weyl group W(G,T). The trick is to carefully analyze not the Weyl-symmetric character functions, but the antisymmetric characters, those elements of R(T) that are antisymmetric under Weyl reflections. These are functions on T that change sign when one does a Weyl reflection in the hyperplane perpendicular to a simple root, i.e. f(wt) = sgn(w)f(t) Necessary and sufficient conditions are given for a Banach space operator with the single‐valued extension property to satisfy Weyl's theorem and a‐Weyl's theorem. It is shown that if T or T* has the single‐valued extension property and T is transaloid, then Weyl's theorem holds for f(T)for every f∈H(σ(T)). When T* has the single‐valued extension property, T is transaloid and T is a |xty| naa| qiv| clx| tbn| phw| wpv| dol| dmi| mat| nlf| xhj| ziv| nsr| qwg| zui| gkh| pjt| mij| qtv| wpe| ixl| rmm| uhy| yso| ekv| vak| qnl| wsn| aiy| axp| udd| nna| nsq| vgx| ubd| lfr| aqu| faj| liv| knz| lvw| ams| szb| fbl| xyu| wlc| kzo| dyn| fdl|