Results 71 to 80 of about 513,254 (163)

Applications of the Hahn-Banach Theorem, a Solution of the Moment Problem and the Related Approximation

Mathematics
We start by an application the of Krein–Milman theorem to the integral representation of completely monotonic functions. Elements of convex optimization are also mentioned. The paper continues with applications of Hahn–Banach-type theorems and polynomial
Octav Olteanu
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Supporting weakly Pareto optimal allocations in infinite dimensional nonconvex economies [PDF]

In this paper, we prove a new version of the Second Welfare Theorem for economies with a finite number of agents and an infinite number of commodities, when the preference correspondences are not convex-valued and/or when the total production set is not ...
Monique Florenzano, Pascal Gourdel, Alejandro Jofré   +2 more
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Dual Spaces and Hahn-Banach Theorem [PDF]

, 2014
In this article, we deal with dual spaces and the Hahn-Banach Theorem. At the first, we defined dual spaces of real linear spaces and proved related basic properties. Next, we defined dual spaces of real normed spaces.
Shidama, Yasunari, Narita, Keiko, Endou, Noboru   +2 more
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Two-Rank and Atomic Solutions of a Bateman–Burgers Type Equation via Functional Analytic Methods

Journal of Applied Mathematics
In this paper, we derive both a two-rank solution and an atomic solution for a Bateman–Burgers type partial differential equation. Specifically, we study an equation in which the second mixed derivative of the unknown function with respect to space and ...
Waseem Ghazi Alshanti, Ma’mon Abu Hammad, Roshdi Khalil   +2 more
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Failure of the trilinear operator space Grothendieck theorem

Discrete Analysis, 2019
Failure of the trilinear operator space Grothendieck theorem, Discrete Analysis 2019:8, 16 pp. Let $\beta:\ell_\infty^n\times \ell_\infty^n\to\mathbb C$ be a bilinear form.
Jop Briët, Carlos Palazuelos
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The Hahn-Banach Theorem in Type Theory

, 1997
We give the basic deønitions for pointfree functional analysis and present constructive proofs of the Alaoglu and Hahn-Banach theorems in the setting of formal topology.
Negri, S., Thierry Coquand, Sara Negri, Cederquist, J.G., Jan Cederquist, Coquand, T.   +5 more
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A structural version of the theorem of Hahn-Banach [PDF]

, 2001
We consider one of the basic results of functional analysis, the classical theorem of Hahn-Banach. This theorem gives the existence of a continuous linear functional on a given normed vectorspace extending a given continuous linear functional on a ...
Brinkhuis, J. (Jan), Brinkhuis, Jan
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On the Borel Complexity of Hahn-Banach Extensions [PDF]

, 2005
The classical Hahn-Banach Theorem states that any linear bounded functional defined on a linear subspace of a normed space admits a norm-preserving linear bounded extension to the whole space.
Brattka, Vasco
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Approximate controllability of Euler-Bernoulli viscoelastic systems

Electronic Journal of Differential Equations, 2019
In this article, we study an Euler-Bernoulli viscoelastic control system which is dissipative due to the presence of the viscoelastic term. The main feature which distinguishes this paper from other related works lies in the fact that we no longer ...
Zhifeng Yang, Zhaosheng Feng
doaj  

A structural version of the theorem of Hahn-Banach [PDF]

We consider one of the basic results of functional analysis, the classical theorem of Hahn-Banach. This theorem gives the existence of a continuous linear functional on a given normed vectorspace extending a given continuous linear functional on a ...
Brinkhuis, J.
core