Operatorhoi payvasta

Operatorhoi payvasta, mafhumest dar nazariyai operatorho. Du operatori khattii makhdud T va T* dar fazoi Gilbert payvasta nomida meshavand, agar baroi hamai vektorhoi kh va u-i fazoi Gilbert (N) vobastagii (Gkh, u) = (zs, T^fu) joy doshta boshad, Masalan, agar

J J I «■(*. V) I dxdv<+OS

a a

boshad, on goh operatori

Gf — J K(kh, u)F(kh)4kh

a

352 OPERASIONALIZM

operator» panvastai

g*f = ^K(kh, y)v(z)dx-ro a            *

dorad, ki dar on K(kh, u) ba funksi­yai K(kh, u) kompleks

payvasta meboshad. Mafhumi payvastagy barom operatornoy dig. fazoho niz umumiyat do da meshavad.