On 𝑞-normal operators and the quantum complex plane

DOI10.1090/S0002-9947-2013-05733-9zbMath1318.14003arXiv1101.3009MaRDI QIDQ2862127

Yurii Savchuk, Jakob Cimprič, Konrad Schmüdgen

Publication date: 14 November 2013

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

Full work available at URL: https://arxiv.org/abs/1101.3009

zbMATH Keywords

moment problemPositivstellensatz\(\ast\)-algebra\(q\)-normal operatorquantum complex plain

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Algebras of unbounded operators; partial algebras of operators (47L60) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Noncommutative function spaces (46L52) Real algebraic and real-analytic geometry (14P99)

Related Items (3)

Induced Quadratic Modules ⋮ Function algebras on the n-dimensional quantum complex space ⋮ \(K\)-theory and index pairings for \(C^*\)-algebras generated by \(q\)-normal operators

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