Zobrazeno 1 - 10
of 105
pro vyhledávání: '"Francisco Javier García-Pacheco"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 2, Pp 3440-3452 (2024)
A geometric invariant or preserver is essentially a geometric property of the unit sphere of a real Banach space that remains invariant under the action of a surjective isometry onto the unit sphere of another real Banach space. A new geometric invar
Externí odkaz:
https://doaj.org/article/b7e835f5bf7f4a53af6e9af77edba589
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-12 (2023)
Abstract The intersection of all zero-neighborhoods in a topological module over a topological ring is a bounded and closed submodule whose inherited topology is the trivial topology. In this manuscript, we prove that this is the smallest closed subm
Externí odkaz:
https://doaj.org/article/c7d378328439483bacf9465e13f5b2ff
Autor:
José Antonio Vilchez Membrilla, Víctor Salas Moreno, Soledad Moreno-Pulido, Alberto Sánchez-Alzola, Clemente Cobos Sánchez, Francisco Javier García-Pacheco
Publikováno v:
Symmetry, Vol 16, Iss 7, p 809 (2024)
Minimum norm problems consist of finding the distance of a closed subset of a normed space to the origin. Usually, the given closed subset is also asked to be convex, thus resulting in a convex minimum norm problem. There are plenty of techniques and
Externí odkaz:
https://doaj.org/article/03d26a6305f04d27af220a45cbf7e15e
Publikováno v:
Axioms, Vol 13, Iss 6, p 388 (2024)
Modulus statistical convergence has been studied in very different general settings such as topological spaces and uniform spaces. In this manuscript, modulus statistical convergence is defined and studied in partial metric spaces.
Externí odkaz:
https://doaj.org/article/4194e750845c4e7c9bc3ae1a014e5c2a
Publikováno v:
AIMS Mathematics, Vol 8, Iss 9, Pp 20477-20486 (2023)
The index of strong rotundity is introduced. This index is used to determine how far an element of the unit sphere of a real Banach space is from being a strongly exposed point of the unit ball. This index is computed for Hilbert spaces. Characteriza
Externí odkaz:
https://doaj.org/article/bd4971cfb63e409d84084a71a9b4a922
Autor:
Almudena P. Márquez, Francisco Javier García-Pacheco, Míriam Mengibar-Rodríguez, Alberto Sánchez-Alzola
Publikováno v:
AIMS Mathematics, Vol 8, Iss 1, Pp 1937-1958 (2023)
Let $ T:X\to Y $ be a bounded linear operator between Banach spaces $ X, Y $. A vector $ x_0\in {\mathsf{S}}_X $ in the unit sphere $ {\mathsf{S}}_X $ of $ X $ is called a supporting vector of $ T $ provided that $ \|T(x_0)\| = \sup\{\|T(x)\|:\|x\| =
Externí odkaz:
https://doaj.org/article/ccf6b704795b4692959a9cf4a1381255
Publikováno v:
Electronic Research Archive, Vol 30, Iss 6, Pp 2183-2195 (2022)
The classical notion of statistical convergence has recently been transported to the scope of real normed spaces by means of the $ f $-statistical convergence for $ f $ a modulus function. Here, we go several steps further and extend the $ f $-statis
Externí odkaz:
https://doaj.org/article/53e74e51b29b4fc0b57be19ff8d4a718
Publikováno v:
AIMS Mathematics, Vol 7, Iss 6, Pp 11276-11291 (2022)
In this manuscript, we introduce the following novel concepts for real functions related to f-convergence and f-statistical convergence: f-statistical continuity, f-statistical derivative, and f-strongly Cesàro derivative. In the first subsection of
Externí odkaz:
https://doaj.org/article/83d9d988fc2c4b72902364bcfa6745eb
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-11 (2022)
Abstract The design of optimal Magnetic Resonance Imaging (MRI) coils is modeled as a minimum-norm problem (MNP), that is, as an optimization problem of the form min x ∈ R ∥ x ∥ $\min_{x\in\mathcal{R}}\|x\|$ , where R $\mathcal{R}$ is a closed
Externí odkaz:
https://doaj.org/article/8937f39e3ef04a9da39f605f66418537
Publikováno v:
Mathematics, Vol 11, Iss 21, p 4473 (2023)
A real topological vector space is said to have the Krein–Milman property if every bounded, closed, convex subset has an extreme point. In the case of every bounded, closed, convex subset is the closed convex hull of its extreme points, then we say
Externí odkaz:
https://doaj.org/article/ae9009830c64490e98e908035ba1e69c