Coordinate formalism on Hilbert manifolds
|Abstract||Infinite-dimensional manifolds modelled on arbitrary Hilbert spaces of functions are considered. It is shown that changes in model rather than changes of charts within the same model make coordinate formalisms on finite and infinite-dimensional manifolds deeply similar. In this context the infinite-dimensional counterparts of simple notions such as basis, dual basis, orthogonal basis, etc. are shown to be closely related to the choice of a model. It is also shown that in this formalism a single tensor equation on an infinite-dimensional manifold produces a family of functional equations on different spaces of functions.|
|Keywords||No keywords specified (fix it)|
No categories specified
(categorize this paper)
|External links||This entry has no external links. Add one.|
|Through your library||Only published papers are available at libraries|
Similar books and articles
Alexey Kryukov (2003). Coordinate Formalism on Abstract Hilbert Space: Kinematics of a Quantum Measurement. [REVIEW] Foundations of Physics 33 (3):407-443.
Alexey Kryukov, On the Problem of Emergence of Classical Space-Time: The Quantum-Mechanical Approach.
Tamara Servi (2008). Noetherian Varieties in Definably Complete Structures. Logic and Analysis 1 (3-4):187-204.
David B. Malament, Topics in the Foundations of General Relativity and Newtonian Gravitation Theory.
Volker Peckhaus (2003). The Pragmatism of Hilbert's Programme. Synthese 137 (1-2):141 - 156.
Diederik Aerts & Liane Gabora (2005). A Theory of Concepts and Their Combinations II: A Hilbert Space Representation. .
Sorry, there are not enough data points to plot this chart.
Added to index2009-01-28
Recent downloads (6 months)0
How can I increase my downloads?