Q-positive definiteness and related operators

DOI10.1016/j.jmaa.2006.07.006zbMath1153.47302OpenAlexW2002191973MaRDI QIDQ1001254

Schôichi Ôta, Franciszek Hugon Szafraniec

Publication date: 17 February 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.006

zbMATH Keywords

\(q\)-oscillator\(q\)-normal\(q\)-formally normal\(q\)-formally subnormal\(q\)-positive definiteness\(q\)-quasinormal\(q\)-subnormalHalmos' positive definitenessRKHS techniqueSchur Lemma

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (3)

On determining the domain of the adjoint operator ⋮ ON A CONVOLUTION FOR q-NORMAL ELEMENTS ⋮ On 𝑞-normal operators and the quantum complex plane

Cites Work

• Operatormethoden für q-identitäten
• Classical and quantum Heisenberg groups, their representations and applications
• On p-hyponormal operators for \(0<p<1\)
• On normal extensions of unbounded operators. III: Spectral properties
• On q–deformed hyponormal operators
• Notes on q-deformed operators
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