Results 51 to 60 of about 513,254 (163)

The minimax theorem as Hahn-Banach theorem consequence [PDF]

open access: yes, 2019
The separation concept is essential in convex programming. In particular, the convex sets separation. In this work the Hahn-Banach theorem is presented, with great generality, together with an important separation theorem, its consequence.
Ferreira, M. A. M.
core  

Plank theorems and their applications: A survey

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley   +1 more source

O Teorema de Hahn Banach [PDF]

open access: yes, 2022
This work consists of the study of one of the most important theorems of Functional Analysis, the Hahn-Banach Theorem. Here, in addition to approaching the theorem in its classic versions found in the Introduction to Functional Analysis books, the ...
Santos, Renan Silva
core   +1 more source

Der Satz von Hahn-Banach per Disjunktionselimination [PDF]

open access: yes, 2019
The Hahn-Banach extension theorem is at once main pillar of functional analysis and — due to its notorious nature as consequence of the axiom of choice — prime example of a pure existential statement. By way of a general syntactic conservation result for
Konstantin Schlagbauer   +5 more
core   +2 more sources

Ramified Asymptotic Expansions for Some Linear Initial Value Problem With Mahler Transforms

open access: yesAbstract and Applied Analysis, Volume 2026, Issue 1, 2026.
We focus on a linear partial differential initial value problem in complex time t and complex space combined with time acting Mahler transforms. Bounded holomorphic solutions on bounded sectors edged at the origin in time and on horizontal strips in space are constructed by means of infinite sums of Fourier–Laplace transforms.
Stéphane Malek, Deepali Deepali
wiley   +1 more source

Uniformly Continuous Functionals and Operators Commuting with Lebesgue–Fourier Algebras

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
Let G be a locally compact group. This paper investigates the space of uniformly continuous functionals associated with the Lebesgue–Fourier algebra on G. Our aim is to describe the dual of this space in terms of bounded operators on the dual of the Lebesgue–Fourier algebra that commute with the natural module action, and to determine exactly when this
Maryam Esfandani   +2 more
wiley   +1 more source

On ℬ‐Analog of the Sumudu Transform Associated With the General Quantum ℬ‐Difference Operator

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
We present here a B‐analog of the Sumudu transform defined via a general quantum B‐difference operator which generalizes classical difference operators in the context of quantum calculus, is employed to study the proposed problem. We explore the core characteristics of the B‐Sumudu transform and illustrate its applications in solving B‐initial value ...
Karima M. Oraby   +2 more
wiley   +1 more source

On Hermite–Hadamard Inequalities for Generalized Quantum Interval Calculus

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we develop the theory of β,gH‐calculus for interval‐valued functions by combining the β‐functions with the generalized Hukuhara difference. Within this framework, we establish various properties related to β,gH‐differentiation and β,gH‐integration.
Muhammad Umer Azam   +4 more
wiley   +1 more source

Analytical method for solving linear abstract differential equations of order n

open access: yesPartial Differential Equations in Applied Mathematics
In this paper, the concept of point-wise independent set of closed operators is introduced. The new concept together with the use of Hahn–Banach Theorem enable us to reduce an inhomogeneous linear abstract differential equation of order n namely, Anu(n ...
Waseem Ghazi Alshanti   +3 more
doaj   +1 more source

Unique Hahn-Banach extensions and Korovkin’s theorem

open access: yes, 1975
This paper characterizes in terms of weak topologies those bounded linear functionals on a subspace which have unique Hahn-Banach extensions to the whole linear normed space.
Lynn C. Kurtz
core   +1 more source

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