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}
}
• Published 14 April 2021
• Mathematics
• Operators and Matrices
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…
3 Citations

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