ALGEBRAIC ANDO DILATION

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2022Embargo end date: 01 Jan 2022Publisher:WileyJournal:Filomat, volume 37, pages 7,401-7,405 (issn: 0354-5180, eissn: 2406-0933,

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Authors: K. MAHESH KRISHNA;

doi: 10.22541/au.166543022.28801854/v1 , 10.2298/fil2322401m , 10.31219/osf.io/bc523 , 10.2139/ssrn.4239814 , 10.20944/preprints202210.0079.v1 , 10.5281/zenodo.7153161 , 10.5281/zenodo.7153162 , 10.48550/arxiv.2210.11310

arXiv: 2210.11310

ALGEBRAIC ANDO DILATION

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Abstract

We solve the And? dilation problem for linear maps on a vector space asked by Krishna and Johnson in [Oper. Matrices, 2022]. More precisely, we show that any commuting linear maps on vector spaces can be dilated to commuting injective linear maps.

Related Organizations

Indian Statistical Institute
India

Keywords

Mathematics - Functional Analysis, Dilation, And\^{o} dilation, vector space, linear map., Physical Sciences and Mathematics, FOS: Mathematics, Computer Science and Mathematics, 47A20, 15A03, 15A04, Mathematics, Analysis, Functional Analysis (math.FA)

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