TY  - BOOK
AU  - Aron,Richard M.
AU  - Gonzalez,Luis Bernal
AU  - Pellegrino,Daniel M..
AU  - Sepulveda,Juan B.Seoane
TI  - Lineability: the search for linearity in mathematics 
T2  - Monographs and research notes in mathematics
SN  - 9781482299090
U1  - 512.5 23
PY  - 2016///
CY  - Boca Raton
PB  - CRC Press
KW  - Linear algebras
KW  - Vector spaces
KW  - Mathematical analysis
N1  - Includes bibliographical references and index; 1. Real analysis --
2. Complex analysis --
3. Sequence spaces, measure theory and integration --
4. Universality, hypercyclicity and chaos --
5. Zeros of polynomials in Banach spaces --
6. Miscellaneous --
7. General techniques.
N2  - 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
ER  -