Aron / Bernal-Gonzalez / Pellegrino Lineability

The Search for Linearity in Mathematics
Erscheinungsjahr 2015
ISBN: 978-1-4822-9910-6
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 328 Seiten

Reihe: Monographs and Research Notes in Mathematics

In this book the new topic of lineability and spaceability is explored following closely the generalized trend in mathematics to search for large algebraic structures composed of mathematical objects with special properties. A state-of-the-art introduction to this concept is provided along with the current direction of research and a discussion of open problems in the field as well as potential solutions. Lineability and spaceability have a remarkable influence on real and complex analysis, summability theory, and general functional analysis.

Autoren/Hrsg.

Aron, Richard M.

Bernal-Gonzalez, Luis

Pellegrino, Daniel M.

Sepulveda, Juan B. Seoane

Fachgebiete

• Mathematik | Informatik Mathematik Algebra
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

- Includes historical background explaining why a particular area of mathematics is involved in lineability and spaceability

- Shows the connections between many areas of mathematics such as linear algebra, set theory, and analysis

- Contains exercises to give readers practice in solving unique problems in lineability and spaceability