ON THE SPECTRUM OF SOME NONLINEAR TRANSPORT THEORY OPERATORS
Nonlinear on spectral parameter  family operators  has been considered. Such family operators create in some application tasks. Full spectrum analysis of operator - function  in separable Hilbert spaces is carried out. The spectrum features in separable Hilbert spaces are pointed out. These results are applicable to nonlinear task of radiation transport. In particular under some task conditions the spectrum structure and character, corner vectors system completion of operator - function  are established.