A resolvent approach to the real quantum plane

DOI10.1007/s00020-014-2165-6zbMath1314.47027arXiv1304.6337OpenAlexW2594888460MaRDI QIDQ464261

Konrad Schmüdgen, Vasyl L. Ostrovskyĭ

Publication date: 17 October 2014

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.6337

zbMATH Keywords

\(q\)-commutation relationsreal quantum plane

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Representation theory of linear operators (47A67)

Cites Work

• Fractional powers of closed operators and the semigroups generated by them
• Commutativity up to a factor: more results and the unbounded case
• Integrable operator representations of \(\mathbb{R}_ q^ 2\), \(X_{q,\gamma}\) and \(SL_ q(2,\mathbb{R})\)
• QUANTUM 'ax + b' GROUP
• A note on commutativity up to a factor of bounded operators
• Commutativity up to a factor of bounded operators in complex Hilbert space
• THE QUANTUM QUARTER PLANE AND THE REAL QUANTUM PLANE
• Notes on q-deformed operators
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