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arXiv · 1304.6337

A Resolvent Approach to the Real Quantum Plane

Vasyl Ostrovskyi·Konrad Schmüdgen
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Abstract

Let $q\neq \pm 1$ be a complex number of modulus one. This paper deals with the operator relation $AB=qBA$ for self-adjoint operators $A$ and $B$ on a Hilbert space. Two classes of well-behaved representations of this relation are studied in detail and characterized by resolvent equations.

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Vasyl Ostrovskyi, Konrad Schmüdgen. 2013-04-23. A Resolvent Approach to the Real Quantum Plane. https://arxiv.org/abs/1304.6337

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