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 -