Methods of Functional Analysis
and Topology
Editors-in-Chief: A. N. Kochubei,
G. M. Torbin
ISSN: 1029-3531 (Print), 2415-7503 (Online)
Founded by Yu. M. Berezansky in 1995.
Methods of Functional Analysis and Topology (MFAT), founded in 1995, is a peer-reviewed journal publishing original articles and surveys on general methods and techniques of functional analysis and topology with a special emphasis on applications to modern mathematical physics.
MFAT is an open access journal, free for authors and free for readers.
Indexed in: MathSciNet, zbMATH, Scopus, Web of Science, DOAJ, Google Scholar
Latest Articles (June, 2026)
Antisymmetric Arens Regularity
Taras Vasylyshyn, Yurii Sharyn
MFAT 32 (2026), no. 2, 193-199
193-199
We introduce a concept of antisymmetric Arens regularity of Banach spaces and prove that a Banach space is Arens regular if and only if it is both symmetrically Arens regular and antisymmetrically Arens regular. We show that if a Banach space is nonreflexive, then it is not antisymmetrically Arens regular and provide an example of a symmetrically Arens regular Banach space which is not antisymmetrically Arens regular.
On fractal faithfulness and fine fractal properties of random variables with independent $\widetilde{Q}$-symbols
Grygoriy Torbin, Vladyslav Vasylenko
MFAT 32 (2026), no. 2, 181-192
181-192
We prove sufficient conditions for the faithfulness of the family of cylinders generated by $\widetilde{Q}$ -expansions for the Hausdorff-Besicovitch dimension calculation. We also represent the conjecture about necessary and sufficient conditions for such a family of cylinders to be faithful. Based on these new results we study fine fractal properties of random variables with independent $\widetilde{Q}$-digits and prove exact formulae for the calculation of the Hausdorff dimension of the corresponding probability measure.
Spliced Double Sequences and Double Density of Points
MFAT 32 (2026), no. 2, 166-173
166-173
In this manuscript we define $A$-double density of a given point in $\mathbb{R}$ for double sequences. We state the relation between double density of a point and spliced double sequences and also examine limit points in view of density of a point.
Some Identities for Tenth Order Mock Theta Functions
Swayamprabha Tiwari, Sameena Saba, Ayhan Esi
MFAT 32 (2026), no. 2, 174-180
174-180
In this paper two lemmas for arbitrary general functions are given and then, by iteration,we express them as a continued fraction after that by specializing the parameters the continued fraction representation for the generalized tenth order mock theta functions are obtained.