Methods of Functional Analysis
Methods of Functional Analysis and Topology (MFAT), founded in 1995, is a peer-reviewed arXiv overlay 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.
Latest Articles (March, 2017)
Methods Funct. Anal. Topology 23 (2017), no. 1, 3-25
A survey is given on the Liouville property of harmonic functions on groups and hypergroups. The discussion of a characterization of that property in terms of the underlying algebraic structures yields interesting open problems.
Methods Funct. Anal. Topology 23 (2017), no. 1, 1-2
Methods Funct. Anal. Topology 23 (2017), no. 1, 66-75
In this paper, we consider various new inverse spectral problems (ISP) for metric graphs, using maximal eigen values of the adjacency matrix of the graph and its subgraphs as well as the corresponding eigen vectors or some of their components as spectral data. We give examples of spectral data that uniquely determine the metric on the graph. Effective algorithms for solving the considered ISP are given.
Methods Funct. Anal. Topology 23 (2017), no. 1, 60-65
Important spectral features such as the emptiness of the residual spectrum, countability of the point spectrum, provided the space is separable, and a characterization of spectral gap at 0, known to hold for bounded scalar type spectral operators, are shown to naturally transfer to the unbounded case.