Unitary group orbits versus groupoid orbits of normal operators
DOI10.1007/s12220-022-01187-5OpenAlexW3214025856MaRDI QIDQ2682376
Gabriel Larotonda, Daniel Beltiţă
Publication date: 31 January 2023
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.04238
Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Group structures and generalizations on infinite-dimensional manifolds (58B25) Topological groupoids (including differentiable and Lie groupoids) (22A22)
Cites Work
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- Integral inequalities for Lipschitzian mappings between two Banach spaces and applications
- (Re)constructing Lie groupoids from their bisections and applications to prequantisation
- Banach-Lie groupoids associated to \(W^*\)-algebras
- Amenability, completely bounded projections, dynamical systems and smooth orbits
- The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits
- A note on norm ideals and the operator \(X\to AX-XB\)
- The relationship between a commutative Banach algebra and its maximal ideal space
- Linear algebraic groups in infinite dimensions
- Banach Lie-Poisson spaces and reduction
- Differential geometry of partial isometries and partial unitaries
- Observables, disassembled
- Fiber-wise linear Poisson structures related to \(W^\ast\)-algebras
- Banach-Lie groupoids and generalized inversion
- Limits of unitarily equivalent normal operators
- Geometry of unitary orbits of pinching operators
- The Lie group of bisections of a Lie groupoid
- Symplectic leaves in real Banach Lie-Poisson spaces
- On the geometry of generalized inverses
- Traces on Irregular Ideals
- Finsler geometry and actions of the $p$-Schatten unitary groups
- Unitary orbits of normal operators in von Neumann algebras
- The rectifiable distance in the unitary Fredholm group
- The Similarity Orbit of a Normal Operator
- A Note on Unitary Cross Sections for Operators
- A Note on Limits of Unitarily Equivalent Operators
- Geometry of quantum dynamics in infinite-dimensional Hilbert space
- Majorization and arithmetic mean ideals
- Classical Systems in Quantum Mechanics
- On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
- Minimal length curves in unitary orbits of a Hermitian compact operator
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