Limitation expressions of generalized inverse in Hilbert space
Liu Xiao-j · Journal of Lanzhou University of Technology · 2014
The necessary and sufficient conditions for the existence of the limitations in the forms of limλ→0B(λI+AY)-1 and limλ→0B(A+λI)-1 are given out by using spatial decomposition of operators Aand Bin Hilbert spaces Xand Y.The correlative limitation values of the two limitations are also obtained.Meantime,a further exploration of relevant properties of the two limitations is carried out.