Results 11 to 20 of about 24,633 (157)
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 The paper gives conditions for a submersion \(f:M\to N\) between paracompact Banach manifolds (with \(N\) connected) to be a fiber bundle. A direct connection is made between the fiber bundle structure and suitable path-lifting properties, providing criteria of topological nature (such as \(f\) being a proper or a closed map or of metric nature).
Gutú, Olivia, Jaramillo, Jesús A.
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Journal of Inequalities and Applications, 2021 This article aims to introduce and analyze the viscosity method for hierarchical variational inequalities involving a ϕ-contraction mapping defined over a common solution set of variational inclusion and fixed points of a nonexpansive mapping on Hadamard
Doaa Filali +4 more
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Nonautonomous Dynamical Systems, 2021 The purpose of this informal paper is three-fold: First, filling a gap in the literature, we provide a (necessary and sufficient) principle of linearized stability for nonautonomous difference equations in Banach spaces based on the dichotomy spectrum ...
Pötzsche Christian, Russ Evamaria
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Spectral sets as Banach manifolds [PDF]
Pacific Journal of Mathematics, 1985 Let A be a commutative Banach algebra, and M a closed analytic submanifold of \(C^ n\). In case A is semisimple, the spectral set \(A_ M\) may be defined as \(A_ M=\{a\in A^ n:sp(a_ 1,...,a_ n)\subset M\},\) if A is not semisimple, a more complicated definition involving the holomorphic functional calculus must be given. For example, if A is a function
Larotonda, Angel, Zalduendo, Ignacio
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On hypersurfaces in a locally affine Riemannian Banach manifold II
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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Complex Manifolds, 2019 Let Γ(M) be the set of all global continuous cross sections of a continuous family M of compact complex manifolds on a compact Hausdorff space X. In this paper, we introduce a C(X)-manifold structure on Γ(M).
Yagisita Hiroki
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On hypersurfaces in a locally affine Riemannian Banach manifold
International Journal of Mathematics and Mathematical Sciences, 2002 We prove that an essential hypersurface of second order 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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Stability and Persistence of Synchronization in a System with a Diffusive-Time-Lag Coupling
Sultan Qaboos University Journal for Science, 2008 We study synchronization in the framework of invariant manifold theory for systems with a time lag. Normal hyperbolicity and its persistence in infinite dimensional dynamical systems in Banach spaces is applied to give general results on synchronization
Adu A.M. Wasike
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