Double Sequence Spaces and Four-Dimensional Matrices

1. Auflage 2022
ISBN: 978-1-032-25024-3
Verlag: Chapman and Hall/CRC

Buch, Englisch, 252 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 546 g

Reihe: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Double Sequence Spaces and Four-Dimensional Matrices provides readers with a clear introduction to the spaces of double sequences and series, as well as their properties. The book then goes beyond this to investigate paranormed double sequence spaces and their algebraic and topological properties, triangle matrices and their domains in certain spaces of double sequences, dual spaces of double sequence spaces, and matrix transformations between double sequence spaces and related topics.

Each chapter contains a conclusion section highlighting the importance of results and pointing out possible new ideas that can be studied further.

Features

- Suitable for students at graduate or post-graduate level and researchers

- Investigates different types of summable spaces and computes their duals

- Characterizes several four-dimensional matrix classes transforming one summable space into other

- Discusses several algebraic and topological properties of new sequence spaces generated by the domain of triangles.

Autoren/Hrsg.

Ba¿ar, Feyzi

Basar, Feyzi

Sava¿c¿, Medine Ye¿ilkayagil

Savasci, Medine Yesilkayagil

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematik Allgemein Zahlensysteme

Inhaltsverzeichnis

Chapter 1. Spaces of Double Sequences and Series. Chapter 2. Some Paranormed Double Sequence Spaces. Chapter 3. Matrix Domains in Double Sequence Spaces. Chapter 4. Dual Spaces of Double Sequence Spaces. Chapter 5. Matrix Transformations Between Double Sequence Spaces. Index.

Über Autor(innen)

Dr. Feyzi Basar is a Professor Emeritus since July 2016 at Inönü University, Turkey. He has published three books for graduate students and researchers and more than 160 scientific papers in the field of summability theory, sequence spaces, FK-spaces, Schauder bases, dual spaces, matrix transformations, spectrum of certain linear operators represented by a triangle matrix over some sequence spaces, the alpha-, beta- and gamma-duals and some topological properties of the domains of some double and four-dimensional triangles in certain spaces of single and double sequences and sets of the sequences of fuzzy numbers. Nowadays, Professor Basar works on the development of sequences and series, and the basic concepts of summability in non-newtonian calculus. He has guided 17 MA and 10 Ph.D. students and served as a referee for 141 international scientific journals. He is reviewer Mathematical Reviews since 2007 and Zentralblatt MATH, and the member of editorial boards of 21 scientific journals. He is also a member of scientific committees of 17 mathematics conferences, delivered talks at 14 different universities as an invited speaker, and worked on 10 scientific project, and participated in more than 70 mathematics symposiums with papers.

Dr. Medine Yesilkayagil Savasci is an Associated Professor at Usak University. She has published more than 25 scientific papers in the field of summability theory, sequence spaces, FK-spaces, Schauder bases, dual spaces, matrix transformations, spectrum of certain linear operators represented by a triangle matrix over some sequence spaces, the alpha-, beta- and gamma-duals and some topological properties of the domains of some double and four-dimensional triangles in certain spaces of single and double sequences. She is reviewer Mathematical Reviews since 2017 and reviews in 11 international