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Lineability: The Search For Linearity In Mathematics Search For Linearity In Mathematics by Richard M. Aron, Luis Bernal-Gonzalez, Daniel M. Pellegrino, Juan B. Seoane Sepulveda is a nonfiction available to read on EtoBox.

What is Lineability: The Search For Linearity In Mathematics Search For Linearity In Mathematics about?

Renewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties. Bringing together research that was otherwise scattered throughout the literature, **Lineability: The Search for Linearity in Mathematics** collects the main results on the conditions for the existence of large algebraic substructures. It investigates lineability issues in a variety of areas, including real and complex analysis. After presenting basic concepts about the existence of linear structures, the book discusses lineability properties of families of functions defined on a subset of the real line as well as the lineability of special families of holomorphic (or analytic) functions defined on some domain of the complex plane. It next focuses on spaces of sequences and spaces of integrable functions before covering the phenomenon of universality from an algebraic point of view. The authors then describe the linear structure of the set of zeros of a polynomial defined on a real or complex Banach space and explore specialized topics, such as the lineability of various families of vectors. The book concludes with an

Who reads Lineability: The Search For Linearity In Mathematics Search For Linearity In Mathematics?

Author

Richard M. Aron, Luis Bernal-Gonzalez, Daniel M. Pellegrino, Juan B. Seoane Sepulveda

Publisher

Chapman and Hall/CRC

Published

2015

Language

EN

ISBN

9780367240943

Category

nonfiction

Subjects

Mathematics, Stem