The Heisenberg group associated to a Hilbert space

DOI10.1016/j.laa.2016.07.015zbMath1359.46021OpenAlexW2475377881MaRDI QIDQ307825

Dumitru Popa

Publication date: 5 September 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.07.015

zbMATH Keywords

Hilbert spaceHeisenberg groupgroup norm

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (1)

On an analogue of the Gauss circle problem for the Heisenberg group

Cites Work

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• A doubling subset of \(L_p\) for \(p>2\) that is inherently infinite dimensional
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Quasiconformal mappings on the Heisenberg group
• Subadditivity of Homogeneous Norms on Certain Nilpotent Lie Groups

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