English

Commutant Lifting for Commuting Row Contractions

Operator Algebras 2014-02-26 v2 Functional Analysis

Abstract

If T=[T1...Tn]T= \big[ T_1 ... T_n\big] is a row contraction with commuting entries, and the Arveson dilation is T~=[T~1...T~n]\tilde T= \big[ \tilde T_1 ... \tilde T_n\big], then any operator XX commuting with each TiT_i dilates to an operator ZZ of the same norm which commutes with each T~i\tilde T_i.

Cite

@article{arxiv.0906.4526,
  title  = {Commutant Lifting for Commuting Row Contractions},
  author = {Kenneth R. Davidson and Trieu Le},
  journal= {arXiv preprint arXiv:0906.4526},
  year   = {2014}
}

Comments

one section and references were added

R2 v1 2026-06-21T13:17:26.847Z