Results 11 to 20 of about 24,818 (197)
On real analytic Banach manifolds [PDF]
Journal of the London Mathematical Society, 2009 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}
Imre Patyi, Scott Simon
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On hypersurfaces in a locally affine Riemannian Banach manifold [PDF]
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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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 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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FREDHOLM MAPPINGS AND BANACH MANIFOLDS [PDF]
Journal of the Korean Mathematical Society, 2009 Two C 1 -mappings, whose domain is a connected compact C 1 -Banach manifold modelled over a Banach space X over K = R or C and whose range is a Banach space Y over K; are introduced. Su-cient conditions are given to assert they share only a value. The proof of the result, which is based upon continuation methods, is constructive. 1.
Javier Arbizu
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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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Integrability on Direct Limit Banach manifolds [PDF]
, 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.
Patrick Cabau, Fernand Pelletier
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Aron--Berner--type extension in complex Banach manifolds [PDF]
Transactions of the American Mathematical Society, 2023 Let S S be a compact Hausdorff space and X X a complex manifold. We consider the space C ( S , X ) C(S,X) of continuous maps S → X S\to X , and prove that any bounded holomorphic function on this space can be ...
László Lempert
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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
Angel Larotonda, Ignacio Zalduendo
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Symplectic structures on Banach manifolds [PDF]
Bulletin of the American Mathematical Society, 1969 Alan Weinstein
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