Year: 2025
Type: article
Abstract: In this work we study Schatten-von Neumann classes of tensor products of invariant operators on Hilbert spaces. In the first part we first deduce some spectral properties for tensors of anharmonic oscillators thanks to the knowledge on corresponding Schatten-von Neumann properties. In the second part we specialised on tensors of invariant operators. In the special case where a suitable Fourier analysis associated to a fixed partition of a Hilbert space into finite dimensional subspaces is available we also give the corresponding formulae in terms of symbols. We also give a sufficient condition for Dixmier traceability for a class of finite tensors of pseudo-differential operators on the flat torus.
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
Awards: G1083792743, G1525296937, Regularity in affiliated von Neumann algebras and applications to partial differential equations, G3130771253, Analysis and Partial Differential Equations (APDE), G4733659820, G4737818524, G6715076113, G7415185036, Pseudo-differential operators on homogeneous manifolds
OpenAlex ID: W4413233308