Linear algebra and differential geometry on abstract Hilbert space

DOI10.1155/IJMMS.2005.2241zbMath1084.46015arXiv0704.3225WikidataQ115243365 ScholiaQ115243365MaRDI QIDQ2576021

Alexey A. Kryukov

Publication date: 7 December 2005

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.3225

zbMATH Keywords

Riemannian metricembeddingisomorphismlocalityspectral theoremderivative operatorgeneralised eigenvalue problemfunctional tensor equationsfunctional transformations on Hilbert spaceslocal coordinates on Hilbert manifolds

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)

Related Items (9)

On the measurement problem for a two-level quantum system ⋮ On the motion of macroscopic bodies in quantum theory ⋮ Geometry of the unification of quantum mechanics and relativity of a single particle ⋮ Mathematics of the classical and the quantum ⋮ Geometric approach to non-relativistic quantum dynamics of mixed states ⋮ Geometric derivation of quantum uncertainty ⋮ Quantum mechanics on Hilbert manifolds: the principle of functional relativity ⋮ A possible mathematics for the unification of quantum mechanics and general relativity ⋮ Nine theorems on the unification of quantum mechanics and relativity

This page was built for publication: Linear algebra and differential geometry on abstract Hilbert space