Results 31 to 40 of about 361,418 (224)

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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A center-stable manifold theorem for differential equations in Banach spaces

, 1993
Th. Gallay
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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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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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Lie transformation groups of Banach manifolds [PDF]

Journal of Differential Geometry, 1971
Ottmar Loos
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A Dynamical Theory for Singular Stochastic Delay Differential Equations I: Linear Equations and a Multiplicative Ergodic Theorem on Fields of Banach Spaces

SIAM Journal on Applied Dynamical Systems, 2022
We show that singular stochastic delay differential equations (SDDEs) induce cocycle maps on a field of Banach spaces. A general Multiplicative Ergodic Theorem on fields of Banach spaces is proved and applied to linear SDDEs.
M. G. Varzaneh, Sebastian Riedel, M. Scheutzow   +2 more
semanticscholar   +1 more source

On the disc-convexity of complex Banach manifolds [PDF]

Annales Polonici Mathematici, 1998
The Banach hyperbolicity and disc-convexity of complex Banach manifolds and their relations are investigated.
Do Duc Thai, Nguyễn Thị Thu Hương
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On the generalization of the Darboux theorem

Pracì Mìžnarodnogo Geometričnogo Centru, 2019
Darboux theorem to more general context of Frechet manifolds we face an obstacle:  in general vector fields do not have local flows. Recently, Fr\'{e}chet geometry has been developed in terms of projective limit of Banach manifolds.
Kaveh Eftekharinasab
doaj   +1 more source

The Stacey-Roberts Lemma for Banach Manifolds

Symmetry, Integrability and Geometry: Methods and Applications
The Stacey-Roberts lemma states that a surjective submersion between finite-dimensional manifolds gives rise to a submersion on infinite-dimensional manifolds of smooth mappings by pushforward. This result is foundational for many constructions in infinite-dimensional differential geometry such as the construction of Lie groupoids of smooth mappings ...
Peter Kristel, Alexander Schmeding
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On the global stable manifold [PDF]

, 2005
We give an alternative proof of the stable manifold theorem as an application of the (right and left) inverse mapping theorem on a space of sequences. We investigate the diffeomorphism class of the global stable manifold, a problem which in the general ...
Abbondandolo, Alberto, Majer, Pietro
core   +2 more sources