An order relation between eigenvalues and symplectic eigenvalues of a class of infinite-dimensional operators

DOI10.1007/s40509-024-00336-5MaRDI QIDQ6642010

Tiju Cherian John, Anmary Tonny, V. B. Kiran Kumar

Publication date: 21 November 2024

Published in: Quantum Studies: Mathematics and Foundations (Search for Journal in Brave)

zbMATH Keywords

symplectic transformationsinterlacing theoremsGaussian covariance operatorspositive \(\mathcal{AN}\) operatorssymplectic spectrum

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Applications of selfadjoint operator algebras to physics (46L60) Geometry and quantization, symplectic methods (81S10) Positive linear operators and order-bounded operators (47B65) Quantum theory (81-XX)

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