Semi-regular biorthogonal pairs and generalized Riesz bases

DOI10.1063/1.4966927zbMath1351.81051arXiv1608.04050OpenAlexW2518107212MaRDI QIDQ2836129

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Publication date: 7 December 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.04050

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Many-body theory; quantum Hall effect (81V70) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (9)

Order structures of \((\mathcal{D,E})\)-quasi-bases and constructing operators for generalized Riesz systems ⋮ Gibbs states, algebraic dynamics and generalized Riesz systems ⋮ Ordered structures of constructing operators for generalized Riesz systems ⋮ Non-self-adjoint Hamiltonians defined by sesquilinear forms and their physical applications ⋮ Biorthogonal vectors, sesquilinear forms, and some physical operators ⋮ Towards generalized Riesz systems theory ⋮ Generalized Riesz systems and quasi bases in Hilbert space ⋮ An algebraic approach of non-self-adjoint Hamiltonians in Krein spaces ⋮ Coupled Susy, pseudo-bosons and a deformed su(1,1) Lie algebra

Cites Work

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• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• (Regular) pseudo-bosons versus bosons
• Pseudobosons, Riesz bases, and coherent states
• More mathematics for pseudo-bosons
• Non-self-adjoint hamiltonians defined by Riesz bases

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