Results 21 to 30 of about 363,931 (208)

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 Semi-simplicity Manifold on Arbitrary Banach Spaces

Journal of Functional Analysis, 1995
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R. Delaubenfels, S. Kantorovitz
semanticscholar   +4 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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Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators [PDF]

, 2008
A. Carey, D. Potapov, F. Sukochev
semanticscholar   +5 more sources

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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Ck Invariant Manifolds for Maps of Banach Spaces

Journal of Mathematical Analysis and Applications, 2002
By using some fixed point theorems for self maps on closed subsets of a Banach space of functions, the author gives a unified proof for the existence, under appropriate gap conditions, of the standard manifolds for a class of \(C^{k, \delta}\) self maps, \(0 \leq \delta \leq 1\), of a Banach space. These results extends to the case \(\delta=0\) his own
Mohamed Sami ElBialy
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Continuous bijective mappings in topological and Banach manifolds [PDF]

Journal of Soviet Mathematics, 1992
Problems of continuity and monotonicity of the inverse operator are investigated. It is assumed that the initial operator is a continuous bijective mapping acting in a topological manifold or in a Banach space. It may be shown that the inverse operator is always continuous in case of finite-dimensional topological manifolds. For Banach space continuity
E. E. Pasike, Yu. I. Petunin, V. I. Savkin   +2 more
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Banach manifold structure and infinite-dimensional analysis for causal fermion systems [PDF]

Annals of Global Analysis and Geometry, 2021
A mathematical framework is developed for the analysis of causal fermion systems in the infinite-dimensional setting. It is shown that the regular spacetime point operators form a Banach manifold endowed with a canonical Fréchet-smooth Riemannian metric.
F. Finster, Magdalena Lottner
semanticscholar   +1 more source

Lie transformation groups of Banach manifolds [PDF]

Journal of Differential Geometry, 1971
Ottmar Loos
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A Kolmogorov–Chentsov Type Theorem on General Metric Spaces with Applications to Limit Theorems for Banach-Valued Processes [PDF]

Journal of theoretical probability, 2021
This paper deals with moduli of continuity for paths of random processes indexed by a general metric space $$\Theta $$ Θ with values in a general metric space $${{\mathcal {X}}}$$ X .
Volker Krätschmer, M. Urusov
semanticscholar   +1 more source