RT Journal Article
T1 Linear subsets of nonlinear sets in topological vector spaces
A1 Bernal González, Luis
A1 Pellegrino, Daniel
A1 Seoane-Sepúlveda, Juan B.
AB For the last decade there has been a generalized trend in mathematics on the search for large algebraic structures (linear spaces, closed subspaces, or infinitely generated algebras) composed of mathematical objects enjoying certain special properties. This trend has caught the eye of many researchers and has also had a remarkable influence in real and complex analysis, operator theory, summability theory, polynomials in Banach spaces, hypercyclicity and chaos, and general functional analysis. This expository paper is devoted to providing an account on the advances and on the state of the art of this trend, nowadays known as lineability and spaceability.
PB American Mathematical Society
SN 0273-0979
YR 2014
FD 2014
LK https://hdl.handle.net/20.500.14352/33418
UL https://hdl.handle.net/20.500.14352/33418
LA eng
NO Ministerio de Economia y Competitividad
NO INCT-Matematica
NO CAPES-NF
NO CNPq
DS Docta Complutense
RD 16 may 2024