Applications of Functional Analysis and Operator Theory

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: closed (31 January 2023) | Viewed by 1605

Special Issue Editor


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Guest Editor
Departamento de Matemática y Ciencia de la Computación, Universidad de Santiago de Chile, Casilla 307 Correo 2, Santiago, Chile
Interests: semigroups of operators; fractional calculus; integral transformations; pseudo-differential operators

Special Issue Information

Dear Colleagues,

Functional analysis is a powerful tool when applied to mathematical problems arising from physical and biological situations.  It deduces results of conceptual, constructive, empirical, experimental, or theoretical work.

In this collection, we expect original and unpublished research papers with high standards of recent advances and significant implications in all areas of functional analysis. These results can be applied in mathematical physics, mechanical, electric, and control engineering systems. Researchers can present the most recent innovations, trends, and concerns, as well as practical challenges encountered and solutions adopted in the fields of functional analysis, particularly in operator theory.

Prof. Dr. Humberto Prado
Guest Editor

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Keywords

  • function spaces
  • operator theory
  • nonlocal operators
  • integral transforms
  • fractional calculus
  • operational calculus
  • pseudo-differential equations in mathematical physics
  • fractional evolution equations

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Published Papers (1 paper)

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Research

8 pages, 283 KiB  
Article
Spaces of Bounded Measurable Functions Invariant under a Group Action
by Samuel A. Hokamp
Axioms 2022, 11(10), 505; https://doi.org/10.3390/axioms11100505 - 26 Sep 2022
Viewed by 1119
Abstract
In this paper, we characterize spaces of L-functions on a compact Hausdorff space that are invariant under a transitive and continuous group action. This work is analogous to established results concerning invariant spaces of continuous and measurable functions on a compact [...] Read more.
In this paper, we characterize spaces of L-functions on a compact Hausdorff space that are invariant under a transitive and continuous group action. This work is analogous to established results concerning invariant spaces of continuous and measurable functions on a compact Hausdorff space. The case for L-functions cannot be proved in the same way when endowed with the norm-topology, but a similar argument can be used when the space of L-functions is given the weak*-topology, as we show in this paper. Full article
(This article belongs to the Special Issue Applications of Functional Analysis and Operator Theory)
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