Operators Between Sequence Spaces and Applications

1. Introduction.- 2. Matrix Domains.- 3. Operators between Matrix Domains.- 4. Statistical Convergence.- 5. Inclusion Equations.- 6. Sequence Space Equations.- 7. Solvability.

BRUNO DE MALAFOSSE was Full Professor at the Laboratoire de Mathématiques Appliquées Havrais, Université du Havre, France, until 2009. He has 35 years of teaching experience in most fields of analysis, probability theory, linear algebra and mathematics for informatics. He obtained the Doctorat of 3eme cycle at the Université du Havre Toulouse III, France, in 1980, with a thesis titled "Contribution à l'étude des systèmes infinis". He completed the Habilitation à Diriger des Recherches in 2004 at the Université du Havre, France, with a titled "Sur la théorie des matrices infinies et applications". His research interests include the infinite matrix theory, summability, differential equations, theory of the sum of operators in the nondifferential case, numerical analysis, convergence of a numerical scheme optimization, quasi-Newton method, continuous fractions, spectral theory and sequence spaces. He is a member of the editorial boards of two reputed journals in Serbia and Jordan and a reviewer for the Mathematical Reviews. His list of publications includes 85 research papers published in international journals. He has been a supervisor/examiner for many doctoral theses in France, Algeria and India.

EBERHARD MALKOWSKY is Full Professor at the Faculty of Management, University Union Nikola Tesla, Belgrade, Serbia. He completed his Ph.D. in Mathematics from Giessen University, Germany, in 1983 with the thesis titled "Toeplitz-Kriterien für Matrizenklassen bei Räumen absolut und stark limitierbarer Folgen". He also completed his Habilitation in Mathematics at Giessen University, Germany, in 1989, with the thesis titled "Matrix transformations in a new class of sequence spaces that includes spaces of absolutely and strongly summable sequences". He has 40 years of teaching experience in all fields of analysis, differential geometry and computer science at universities in Germany, South Africa, Serbia, Jordan and Turkey, and as a visiting professor in the USA,

"This book presents recent studies on bounded and compact operators, their underlying theories and applications to problems of the solutions of infinite systems of linear equations in various sequence spaces. ... The reader wishing to learn these topics can obtain a complete outlook just by reading this book. In addition, at the end of each chapter, there is a very complete and updated list of references." (María C. Listán-García, Mathematical Reviews, August, 2022)