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On complex Banach manifolds similar to Stein manifolds [PDF]

Comptes Rendus. Mathématique, 2010
We give an abstract definition, similar to the axioms of a Stein manifold, of a class of complex Banach manifolds in such a way that a manifold belongs to the class if and only if it is biholomorphic to a closed split complex Banach submanifold of a ...
Patyi, Imre
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On real analytic Banach manifolds [PDF]

Journal of the London Mathematical Society, 2008
Let $X$ be a real Banach space with an unconditional basis (e.g., $X=\ell_2$ Hilbert space), $\Omega\subset X$ open, $M\subset\Omega$ a closed split real analytic Banach submanifold of $\Omega$, $E\to M$ a real analytic Banach vector bundle, and ${\Cal A}
Patyi, Imre, Simon, Scott
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Fibrations on Banach manifolds [PDF]

Pacific Journal of Mathematics, 2004
Let f be a split submersion between paracompact Banach manifolds. We obtain here various conditions for f to be a fiber bundle. First, we give general conditions in terms of path-liftings. As a consequence, we deduce several criteria: For example, f is a fiber bundle provided it satisfies either some topological requirements ( such as being a proper or
Olivia Gutú, Jesús A. Jaramillo
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Morse theory on Banach manifolds [PDF]

Bulletin of the American Mathematical Society, 1970
AbstractLet ƒ be a C2 function on a C2 Banach manifold. A critical point x of ƒ is said to be weakly nondegenerate if there exists a neighborhood U of x and a hyperbolic linear isomorphism Lx: Tx(M) → Tx(M) such that in the coordinate system of U, dƒx + v(Lxv) > 0 if v ≠ 0.
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Rough integrators on Banach manifolds [PDF]

Bulletin des Sciences Mathématiques, 2019
We introduce a notion of p-rough integrator on any Banach manifolds, for any $p\geq 1$, which plays the role of weak geometric Holder p-rough paths in the usual Banach space setting. The awaited results on rough differential equations driven by such objects are proved, and a canonical representation is given if the manifold is equipped with a ...
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A construction of a nonparametric quantum information manifold [PDF]

, 2005
We present a construction of a Banach manifold on the set of faithful normal states of a von Neumann algebra, where the underlying Banach space is a quantum analogue of an Orlicz space.
Jencova, Anna
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Bundles of acceleration on Banach manifolds [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2005
Abstract We consider an infinite-dimensional manifold M modelled on a Banach space E and we construct smooth fiber bundle structures on the tangent bundle of order two T 2 M , which consists of all smooth curves of M that agree up to their acceleration, as well as on the corresponding second-order frame bundle L 2 M ...
George Galanis, Christopher T. J. Dodson
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On Sussmann theorem for orbits of sets of vector fields on Banach manifolds [PDF]

, 2011
The purpose of this paper is to give some generalizations, in the context of Banach mani- folds, of Sussmann's results about the orbits of families of vector fields ([Su]).
Lathuille, Arnauld, Pelletier, Fernand
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Fredholm mappings and Banach manifolds [PDF]

Journal of the Korean Mathematical Society, 2009
Dirección General de Enseñanza ...
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Infinite Dimensional Quantum Information Geometry [PDF]

, 2000
We present the construction of an infinite dimensional Banach manifold of quantum mechanical states on a Hilbert space H using different types of small perturbations of a given Hamiltonian.
Grasselli, M. R.
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