Transference for Banach space representations of nilpotent Lie groups. Part 1. Irreducible representations

DOI10.1090/proc/14206zbMath1439.22017arXiv1511.08359OpenAlexW3208228180WikidataQ115290777 ScholiaQ115290777MaRDI QIDQ4691326

Daniel Beltiţă, Ingrid Beltiţă, José E. Galé

Publication date: 23 October 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08359

zbMATH Keywords

nilpotent Lie groupreflexive Banach spacetransference

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25) Solvable, nilpotent (super)algebras (17B30)

Related Items (3)

Transference for Banach space representations of nilpotent Lie groups. II. Pedersen multipliers ⋮ Topological aspects of group $C^*$-algebras ⋮ Quasidiagonality of \(C^\ast\)-algebras of solvable Lie groups

Cites Work

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• On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
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• Harmonic Analysis on Exponential Solvable Lie Groups
• Smooth vectors and Weyl-Pedersen calculus for representations of nilpotent Lie groups
• A New Proof that Nilpotent Groups are CCR
• Sur les représentations unitaires des groupes de Lie nilpotents. V
• Unitary representations of solvable Lie groups
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