# Dilations of linear maps on vector spaces

@article{Krishna2022DilationsOL, title={Dilations of linear maps on vector spaces}, author={K. Mahesh Krishna and P. S. Johnson}, journal={Operators and Matrices}, year={2022} }

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…

## One Citation

### p-adic Magic Contractions, p-adic von Neumann Inequality and p-adic Sz.-Nagy Dilation

- Mathematics
- 2022

: We introduce the notion of p-adic magic contraction on p-adic Hilbert space. We derive p-adic Halmos dilation, p-adic Egervary N-dilation, p-adic von Neumann inequality and p-adic Sz.-Nagy dilation…

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