Characterizations of nuclear pseudo-differential operators on \(\mathbb {S}^1\) with applications to adjoints and products
From MaRDI portal
Publication:1685333
DOI10.1007/s11868-017-0199-7OpenAlexW2595716752MaRDI QIDQ1685333
Publication date: 13 December 2017
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11868-017-0199-7
Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Pseudodifferential operators (47G30)
Related Items (11)
Boundedness and nuclearity of pseudo-differential operators on homogeneous trees ⋮ Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups ⋮ Pseudo-differential analysis of bounded linear operators from \(L^{p_1}(\mathbb{S}^1)\) into \(L^{p_2}(\mathbb{S}^1)\) ⋮ Nuclearity of operators related to finite measure spaces ⋮ Characterizations of nuclear pseudo-differential operators on ℤ with some applications ⋮ Self-adjointness and compactness of operators related to finite measure spaces ⋮ Normality, self-adjointness, spectral invariance, groups and determinants of pseudo-differential operators on finite abelian groups ⋮ Characterizations of pseudo-differential operators on \(\mathbb{S}^1\) based on separation-preserving operators ⋮ Schatten class and nuclear pseudo-differential operators on homogeneous spaces of compact groups ⋮ On some spectral properties of pseudo-differential operators on \(\mathbb{T}\) ⋮ \(L^p\)-boundedness and \(L^p\)-nuclearity of multilinear pseudo-differential operators on \(\mathbb{Z}^n\) and the torus \(\mathbb{T}^n\)
Cites Work
- Unnamed Item
- Unnamed Item
- A study on pseudo-differential operators on \(\mathbb {S}^{1}\) and \(\mathbb {Z}\)
- Kernel and symbol criteria for Schatten classes and \(r\)-nuclearity on compact manifolds
- The trace of nuclear operators on \(L^{p}(\mu )\) for \(\sigma \)-finite Borel measures on second countable spaces
- Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on \({{\mathbb S}^1}\)
- Hölder estimates for pseudo-differential operators on \(\mathbb {T}^{1}\)
- A study on the adjoint of pseudo-differential operators on \(\mathbb {S}^{1}\) and \(\mathbb {Z}\)
- \(L^p\)-nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups
- $L^p$-nuclear pseudo-differential operators on $\mathbb {Z}$ and $\mathbb {S}^1$
- Spectral Theory of Pseudo-Differential Operators on $$\mathbb{S}^1$$
- A Characterization of Compact Pseudo-Differential Operators on $$\mathbb{S}^1$$
- Discrete Fourier Analysis
- La théorie de Fredholm
- Pseudo-Differential Operators on $$ \mathbb{S}^1 $$
- Produits tensoriels topologiques et espaces nucléaires
- Traces and determinants of linear operators
This page was built for publication: Characterizations of nuclear pseudo-differential operators on \(\mathbb {S}^1\) with applications to adjoints and products
