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Lineability: The Search for Linearity in Mathematics
Contributor(s): Aron, Richard M. (Author), Bernal-Gonzalez, Luis (Author), Pellegrino, Daniel M. (Author)
ISBN: 1138894435     ISBN-13: 9781138894433
Publisher: CRC Press
OUR PRICE:   $71.27  
Product Type: Paperback - Other Formats
Published: February 2018
Qty:
Temporarily out of stock - Will ship within 2 to 5 weeks
Additional Information
BISAC Categories:
- Mathematics | Algebra - General
- Mathematics | Functional Analysis
- Mathematics | Algebra - Linear
Dewey: 512.52
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathemat
Physical Information: 328 pages
 
Descriptions, Reviews, Etc.
Publisher Description:

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 account of general techniques for discovering lineability in its diverse degrees.