Results 1 to 10 of about 83,704 (187)

Nonlinear analysis in p-vector spaces for single-valued 1-set contractive mappings

Fixed Point Theory and Algorithms for Sciences and Engineering, 2022
The goal of this paper is to develop some fundamental and important nonlinear analysis for single-valued mappings under the framework of p-vector spaces, in particular, for locally p-convex spaces for 0 < p ≤ 1 $0 < p \leq 1$ .
George Xianzhi Yuan
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Fixed point theorems and applications in p-vector spaces

Fixed Point Theory and Algorithms for Sciences and Engineering, 2023
The goal of this paper is to develop new fixed points for quasi upper semicontinuous set-valued mappings and compact continuous (single-valued) mappings, and related applications for useful tools in nonlinear analysis by applying the best approximation ...
George Xianzhi Yuan
doaj   +1 more source

Extending Whitney's extension theorem: nonlinear function spaces [PDF]

, 2020
We consider a global, nonlinear version of the Whitney extension problem for manifold-valued smooth functions on closed domains $C$, with non-smooth boundary, in possibly non-compact manifolds.
Roberts, David Michael, Schmeding, Alexander   +1 more
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Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]

, 2015
In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie group structure on the character group with values in ...
Bogfjellmo, Geir, Dahmen, Rafael, Schmeding, Alexander   +2 more
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Symmetry Representations in the Rigged Hilbert Space Formulation of Quantum Mechanics [PDF]

, 2002
We discuss some basic properties of Lie group representations in rigged Hilbert spaces. In particular, we show that a differentiable representation in a rigged Hilbert space may be obtained as the projective limit of a family of continuous ...
A Bohm, Antoine J P, Antoine J P, Antoine J P, Bohm A, Bohm A, Bohm A, Bohm A, Bohm A, Bohm A, Flato M, Hille E, Komura T, Nagel B, Nelson E, Pietsch A, Roberts J E, Robinson D, Robinson D, Rusinek J, S Wickramasekara, Simon J, Yosida K   +22 more
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Universal arrows to forgetful functors from categories of topological algebra [PDF]

, 1992
We survey the present trends in theory of universal arrows to forgetful functors from various categories of topological algebra and functional analysis to categories of topology and topological algebra.
Pestov, Vladimir G.
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Duality for convex monoids [PDF]

, 2015
Every C*-algebra gives rise to an effect module and a convex space of states, which are connected via Kadison duality. We explore this duality in several examples, where the C*-algebra is equipped with the structure of a finite-dimensional Hopf algebra ...
Roumen, Frank, Roy, Sutanu
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Controllability on infinite-dimensional manifolds [PDF]

, 2012
Following the unified approach of A. Kriegl and P.W. Michor (1997) for a treatment of global analysis on a class of locally convex spaces known as convenient, we give a generalization of Rashevsky-Chow's theorem for control systems in regular connected ...
A. Isidori, A. Kriegl, A.A. Agrachev, A.A. Agrachev, A.A. Agrachev, A.A. Agrachev, A.A. Agrachev, A.A. Agrachev, A.J. Krener, A.M. Bloch, C. Carathéodory, C. Lobry, C. Lobry, D.L. Elliot, E. Heintze, E.D. Sontag, F. Bullo, G. Frobenius, H. Hermes, H. Hermes, H. Hermes, H. Hermes, H. Hermes, H. Jarchow, H. Nijmeijer, H. Omori, H. Omori, H.J. Sussmann, H.J. Sussmann, H.J. Sussmann, H.J. Sussmann, H.J. Sussmann, Irina Markina, J. Eells, J. Eells, J. Milnor, M. Kawski, M. Kawski, M. Kawski, M. Kawski, M. Kawski, Mahdi Khajeh Salehani, P. Brunovsky, P.E. Crouch, P.I. Dudnikov, P.K. Rashevsky, R. Hermann, R. Hermann, R. Montgomery, R. Palais, R.-M. Bianchini, R.-M. Bianchini, R.E. Kalman, R.E. Kalman, R.E. Kalman, R.S. Hamilton, R.W. Brockett, S. Yamamuro, V. Jurdjevic, V.G. Boltyanski, V.V. Vagner, W.-L. Chow   +61 more
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Locally Nearly Uniformly Convex Points in Orlicz Spaces Equipped with the Luxemburg Norm

Axioms
This research explores two novel geometric concepts—nearly convex points and locally nearly uniformly convex points within the frameworks of Banach spaces and Orlicz spaces equipped with the Luxemburg norm.
Yunan Cui, Xiaoxia Wang, Yaoming Niu
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Differentiable mappings on products with different degrees of differentiability in the two factors [PDF]

, 2014
We develop differential calculus of $C^{r,s}$-mappings on products of locally convex spaces and prove exponential laws for such mappings. As an application, we consider differential equations in Banach spaces depending on a parameter in a locally convex ...
Alexander Schmeding, Alzaareer, Amann, Außenhofer, Bertram, Biller, Bochnak, Dahmen, Engelking, Franklin, Frölicher, Glöckner, Glöckner, Glöckner, Glöckner, Glöckner, Glöckner, Hamilton, Hamza Alzaareer, Keller, Kelley, Kriegl, Kriegl, Lang, Michor, Milnor, Nagel, Neeb, Neeb, Omori, Salmasian, Schmeding, Seip, Steenrod, Wockel   +34 more
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