Matrices of infinite dimensions and their applications

Authors :: Matysiak, Lukasz
Przewozniak, Weronika
Rulinska, Natalia
Source :: ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021
Publication Year :: 2021
Abstract: Matrices are very popular and widely used in mathematics and other fields of science. Every mathematician has known the properties of finite-sized matrices since the time of study. In this paper, we consider the basic theory of infnite matrices. So far, there have been references and few results in certain scientific fields, but they have not been thoroughly researched. This paper presents a complete possible and ordered theory of infinite matrices.<br />Comment: 7 pages, accepted in ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021