  We continue the study dilation of linear maps on vector spaces introduced by
Bhat, De, and Rakshit. This notion is a variant of vector space dilation
introduced by Han, Larson, Liu, and Liu. We derive vector space versions of
Wold decomposition, Halmos dilation, N-dilation, inter-twining lifting theorem
and a variant of Ando dilation. It is noted further that unlike a kind of
uniqueness of Halmos dilation of strict contractions on Hilbert spaces, vector
space version of Halmos dilation can not be characterized.
