Results 41 to 50 of about 92,426 (217)

Infinite Dimensional Quantum Information Geometry [PDF]

open access: yes, 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.
core   +3 more sources

Vitali properties of Banach analytic manifolds [PDF]

open access: yesANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2019
29 ...
Nguyen Van Khue   +2 more
openaire   +3 more sources

On the generalization of the Darboux theorem

open access: yesPracì 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

On the global stable manifold [PDF]

open access: yes, 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

Conjugacy of a Discrete Semidynamical System in a Neighbourhood of the Nontrivial Invariant Manifold

open access: yesInternational Journal of Differential Equations, 2014
The conjugacy of a discrete semidynamical system and its partially decoupled discrete semidynamical system in a Banach space is proved in a neighbourhood of the nontrivial invariant manifold.
Andrejs Reinfelds
doaj   +1 more source

Asymptotic Integration of Certain Differential Equations in Banach Space

open access: yesМоделирование и анализ информационных систем, 2017
We investigate the problem of constructing the asymptotics for weak solutions of certain class of linear differential equations in the Banach space as the independent variable tends to infinity.
Pavel N. Nesterov
doaj   +1 more source

Global Lipschitz invariant center manifolds for ODEs with generalized trichotomies

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
In a Banach space, assuming that a linear nonautonomous differential equation $v'=A(t)v$ admits a very general type of trichotomy, we establish conditions for the existence of global Lipschitz invariant center manifold of the perturbed equation $v'=A(t)v+
António Bento, Cristina Costa
doaj   +1 more source

Integrability of weak distributions on Banach manifolds [PDF]

open access: yesIndagationes Mathematicae, 2012
This paper concerns the problem of integrability of non closed distributions on Banach manifolds. We introduce the notion of weak distribution and we look for conditions under which these distributions admit weak integral submanifolds. We give some applications to Banach Lie algebroid and Banach Lie-Poisson manifold.
openaire   +3 more sources

Invariant manifolds for flows in Banach spaces

open access: yesJournal of Differential Equations, 1988
On presente une theorie des varietes invariantes lisses basee sur la methode classique de Lyapunov-Penon pour des semi-flots continus dans des espaces de ...
Shui-Nee Chow, Kening Lu
openaire   +3 more sources

On the Existence of Polynomials with Chaotic Behaviour

open access: yesJournal of Function Spaces and Applications, 2013
We establish a general result on the existence of hypercyclic (resp., transitive, weakly mixing, mixing, frequently hypercyclic) polynomials on locally convex spaces.
Nilson C. Bernardes, Alfredo Peris
doaj   +1 more source

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