Computational Problems in Metric Fixed Point Theory and their Weihrauch Degrees [PDF]
Logical Methods in Computer Science, 2015 We study the computational difficulty of the problem of finding fixed points of nonexpansive mappings in uniformly convex Banach spaces. We show that the fixed point sets of computable nonexpansive self-maps of a nonempty, computably weakly closed ...
Eike Neumann
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Probability Error Bounds for Approximation of Functions in Reproducing Kernel Hilbert Spaces
Journal of Function Spaces, 2021 We find probability error bounds for approximations of functions f in a separable reproducing kernel Hilbert space H with reproducing kernel K on a base space X, firstly in terms of finite linear combinations of functions of type Kxi and then in terms of
Ata Deniz Aydın, Aurelian Gheondea
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The Alexandroff property and the preservation of strong uniform continuity
Applied General Topology, 2010 In this paper we extend the theory of strong uniform continuity and strong uniform convergence, developed in the setting of metric spaces in, to the uniform space setting, where again the notion of shields plays a key role.
Gerald Beer
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Strong Uniform Attractors for Non-Autonomous Dissipative PDEs with non translation-compact external forces [PDF]
, 2014 We give a comprehensive study of strong uniform attractors of non-autonomous dissipative systems for the case where the external forces are not translation compact.
Zelik, Sergey
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Large Function Algebras with Certain Topological Properties
Journal of Function Spaces, 2015 Let F be a family of continuous functions defined on a compact interval. We give a sufficient condition so that F∪{0} contains a dense c-generated free algebra; in other words, F is densely c-strongly algebrable.
Artur Bartoszewicz, Szymon Głąb
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Topological and Functional Properties of Some F-Algebras of Holomorphic Functions
Journal of Function Spaces, 2015 Let Np (11. If (Fp)∗ denotes the strong dual space of Fp and Npw∗ denotes the space Sp of complex sequences γ={γn}n satisfying the condition γn=Oexp-cn1/(p+1), equipped with the topology of uniform convergence on weakly bounded subsets of Np, then we ...
Romeo Meštrović
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Eliminating flutter for clamped von Karman plates immersed in subsonic flows [PDF]
, 2014 We address the long-time behavior of a non-rotational von Karman plate in an inviscid potential flow. The model arises in aeroelasticity and models the interaction between a thin, nonlinear panel and a flow of gas in which it is immersed [6, 21, 23 ...
Lasiecka, Irena, Webster, Justin T.
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Topologies of (strong) uniform convergence on bornologies
, 2012 We continue the study of topologies of strong uniform convergence on bornologies initiated in [G. Beer and S. Levi, Strong uniform continuity, J. Math Anal. Appl., 350:568-589, 2009] and [G. Beer and S. Levi, Uniform continuity, uniform convergence and shields, Set-Valued and Variational Analysis, 18:251-275, 2010].
Holá, Lubica, Novotný, Branislav
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Energy-constrained diamond norms and their use in quantum information theory
, 2017 We consider the family of energy-constrained diamond norms on the set of Hermitian-preserving linear maps (superoperators) between Banach spaces of trace class operators.
Shirokov, M. E.
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Complete metrizability of topologies of strong uniform convergence on bornologies
Journal of Mathematical Analysis and Applications, 2012 It is well-known that if \(X\) is locally compact and Lindelöf then the compact-open topology on the set of real-valued continuous functions is completely metrizable, see \textit{R. F. Arens} [Ann. Math. (2) 47, 480--495 (1946; Zbl 0060.39704)]; the key property here is that there is a countable family of compact sets whose interiors cover~\(X\).
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