Coordinate formalism on Hilbert manifolds

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dc.creatorKryukov, Alexey A.
dc.date2002-01-08
dc.date.accessioned2026-07-07T04:28:53Z
dc.date.available2026-07-07T04:28:53Z
dc.descriptionInfinite-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 obtained 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.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0201017
dc.identifierhttp://arxiv.org/abs/math-ph/0201017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56962
dc.subjectMathematical Physics
dc.subjectFunctional Analysis
dc.subject46F05; 46C05
dc.titleCoordinate formalism on Hilbert manifolds
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