ABSTRACT

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

chapter |22 pages

Preliminary Notions and Tools

chapter 1|62 pages

Real Analysis

chapter 2|34 pages

Complex Analysis

chapter 4|56 pages

Universality, Hypercyclicity and Chaos

chapter 5|26 pages

Zeros of Polynomials in Banach Spaces

chapter 6|22 pages

Miscellaneous

chapter 7|28 pages

General Techniques