Banach manifold
In mathematics, a Banach manifold is a manifold modeled on Banach spaces. Thus it is a topological space in which each point has a neighbourhood homeomorphic to an open set in a Banach space (a more involved and formal definition is given below). Banach manifolds are one possibility of extending manifolds to infinite dimensions. A further generalisation is to Fréchet manifolds, replacing Banach spaces by Fréchet spaces. On the other hand, a Hilbert manifold is a special case of a Banach manifold in which the manifold is locally modelled on Hilbert spaces.
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Banach manifold
In mathematics, a Banach manifold is a manifold modeled on Banach spaces. Thus it is a topological space in which each point has a neighbourhood homeomorphic to an open set in a Banach space (a more involved and formal definition is given below). Banach manifolds are one possibility of extending manifolds to infinite dimensions. A further generalisation is to Fréchet manifolds, replacing Banach spaces by Fréchet spaces. On the other hand, a Hilbert manifold is a special case of a Banach manifold in which the manifold is locally modelled on Hilbert spaces.
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En matemáticas, una variedad d ...... nte sobre espacios de Hilbert.
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En topologie différentielle, u ...... éfinis sur le corps des réels.
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In mathematics, a Banach manif ...... ly modelled on Hilbert spaces.
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728,785,322
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En matemáticas, una variedad d ...... iedad a infinitas dimensiones.
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En topologie différentielle, u ...... ment difféomorphes à un espace
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In mathematics, a Banach manif ...... ly modelled on Hilbert spaces.
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Banach manifold
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Variedad de Banach
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Variété lisse
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