Existence of infinite-dimensional Lie algebra for a unitary group on a Hilbert space and related aspects

DOI10.4064/bc96-0-2zbMath1250.22020arXiv1405.0860OpenAlexW2318107642WikidataQ115218200 ScholiaQ115218200MaRDI QIDQ2905537

Yasumichi Matsuzawa, Hiroshi Ando

Publication date: 27 August 2012

Published in: Banach Center Publications, Journal of Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0860

zbMATH Keywords

Lie algebraLie groupunitary groupBorel equivalence relationsfinite von Neumann algebratensor categorymeasurable operatorunbounded self-adjoint operatorsstrong resolvent topologyaffiliated operator

Mathematics Subject Classification ID

Descriptive set theory (03E15) Linear symmetric and selfadjoint operators (unbounded) (47B25) Noncommutative measure and integration (46L51) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)