Results 61 to 70 of about 513,254 (163)
The Hahn-Banach theorem: the life and times [PDF]
, 1997 Without the Hahn-Banach theorem, functional analysis would be very different from the structure we know today. Among other things, it has proved to be a very appropriate form of the Axiom of Choice for the analyst.
Beckenstein, Edward, Narici, Lawrence
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate the stability and numerical solution of second‐order linear nonhomogeneous equations with the general quantum B‐difference operator. We prove Hyers–Ulam stability (HU s) and Hyers–Ulam–Rassias stability (HUR s) for these equations using a Riccati equation approach and variation of parameters technique.
Karima M. Oraby +3 more
wiley +1 more source
The Hahn Banach theorem in convex programming
, 2022 Separation theorems are the fundamentals of convex programming.They are important consequences of Hahn-Banach theorem. This work begins considering vector spaces, in broad sense, then normed spaces and finally Hilbert spaces. It ends with the application
Ferreira, M.
core
Weak solutions for a singular beam equation
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 12, December 2025.Abstract This paper deals with a dynamic Gao beam of infinite length subjected to a moving concentrated Dirac mass. Under appropriate regularity assumptions on the initial data, the problem possesses a weak solution which is obtained as the limit of a sequence of solutions of regularized problems.
Olena Atlasiuk +2 more
wiley +1 more source
HAHN-BANACH THEOREM AS A CHOICE PRINCIPLE
, 2004 El teorema de Hahn–Banach implica el axioma de elección para familias de conjuntos convexos cerrados en espacios reflexivos y para familias más generales de convexos en espacios localmente convexos.
Enciso, Germán, Caicedo, Xavier
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Conformal optimization of eigenvalues on surfaces with symmetries
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
wiley +1 more source
Superlinear perturbations of a double‐phase eigenvalue problem
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We consider a perturbed version of an eigenvalue problem for the double‐phase operator. The perturbation is superlinear, but need not satisfy the Ambrosetti–Robinowitz condition. Working on the Sobolev–Orlicz space W01,η(Ω)$ W^{1,\eta }_{0}(\Omega)$ with η(z,t)=α(z)tp+tq$ \eta (z,t)=\alpha (z)t^{p}+t^{q}$ for 1
Yunru Bai +2 more
wiley +1 more source
The Hahn Banach theorem in convex programming [PDF]
, 2015 Separation theorems are the fundamentals of convex programming.They are important consequences of Hahn-Banach theorem. This work begins considering vector spaces, in broad sense, then normed spaces and finally Hilbert spaces. It ends with the application
Ferreira, M.
core
The domination theorem for operator classes generated by Orlicz spaces
Mathematische Nachrichten, Volume 298, Issue 11, Page 3576-3598, November 2025.Abstract We study lattice summing operators between Banach spaces focusing on two classes, ℓφ$\ell _\varphi$‐summing and strongly φ$\varphi$‐summing operators, which are generated by Orlicz sequence lattices ℓφ$\ell _\varphi$. For the class of strongly φ$\varphi$‐summing operators, we prove the domination theorem, which complements Pietsch's ...
D. L. Fernandez +3 more
wiley +1 more source
, 2004 In this thesis, we examine the Hahn-Banach Theorem, a celebrated theory in Functional Analysis. This theorem has been used to show that there exists bounded linear functionals in the dual space, other than the trivial functional. Another important aspect
De los Rios, Ivonne
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