Results 11 to 20 of about 92,426 (217)
Hereditary Ball-Covers for Some Banach Manifolds [PDF]
Proceedings of the American Mathematical Society, 1972 At a problem seminar in Ithaca, New York, during January 1969, James Eells raised the question (numbered 33 on the circulated list) of whether a paracompact Fréchet manifold admits a locally finite cover by open sets, all of whose intersections are contractible.
James E. West
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A construction of a nonparametric quantum information manifold [PDF]
arXiv, 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. On the manifold, we introduce the exponential and mixture connections as dual pair of affine connections.
Jencova, Anna
arxiv +5 more sources
FREDHOLM MAPPINGS AND BANACH MANIFOLDS [PDF]
Journal of the Korean Mathematical Society, 2009 Dirección General de Enseñanza ...
Javier Arbizu
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On hypersurfaces in a locally affine Riemannian Banach manifold II [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 In our previous work (2002), we proved that an essential second-order hypersurface in an infinite-dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature.
El-Said R. Lashin, Tarek F. Mersal
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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 Á. Jaramillo
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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 ...
C. T. J. Dodson, George Galanis
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Integrability on Direct Limit Banach manifolds [PDF]
arXiv, 2014 This paper is devoted to the framework of direct limit of anchored Banach bundles over a convenient manifold which is a direct limit of Banach manifold. In particular we give a criterion of integrability for distributions on such convenient manifolds which are locally direct limits of particular sequences of Banach anchor ranges.
Cabau, Patrick, Pelletier, Fernand
arxiv +3 more sources
Induction for weak symplectic Banach manifolds
Journal of Geometry and Physics, 2008 The symplectic induction procedure is extended to the case of weak symplectic Banach manifolds. Using this procedure, one constructs hierarchies of integrable Hamiltonian systems related to the Banach Lie‐Poisson spaces of k-diagonal trace class operators.
Anatol Odzijewicz, Tudor S. Raţiu
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Banach manifolds and the Gelfand representation theorem
Indagationes Mathematicae (Proceedings), 1978 AbstractThe Gelfand representation of a commutative Banach algebra A is extended to principal extensions of Riemann surfaces over A. A modification of the well-known description of the principal extension of the Riemann sphere over a (generally non commutative) Banach algebra is also given.
S.T.M. Ackermans
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The metric projection on C2 manifolds in Banach spaces
Journal of Approximation Theory, 1979 AbstractWe study the best approximation of a point x in a Banach space B from a C2 manifold. We derive a formula for the radius of curvature at points on the manifold and we use it to obtain a formula for the Frechet derivative of the metric projection onto the manifold.
Theagenis J. Abatzoglou
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