DILATIONS OF LINEAR MAPS ON VECTOR SPACES
| dc.contributor.author | Mahesh Krishna, K.M. | |
| dc.contributor.author | Johnson, P.S. | |
| dc.date.accessioned | 2026-02-04T12:27:58Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | Dilation of linear maps on vector spaces has been recently 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 cannot be characterized. © 2022, Element D.O.O.. All rights reserved. | |
| dc.identifier.citation | Operators and Matrices, 2022, 16, 2, pp. 465-477 | |
| dc.identifier.issn | 18463886 | |
| dc.identifier.uri | https://doi.org/10.7153/oam-2022-16-36 | |
| dc.identifier.uri | https://idr.nitk.ac.in/handle/123456789/22538 | |
| dc.publisher | Element D.O.O. | |
| dc.subject | Dilation | |
| dc.subject | linear map | |
| dc.subject | vector space | |
| dc.title | DILATIONS OF LINEAR MAPS ON VECTOR SPACES |