期刊
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY
卷 51, 期 1, 页码 71-130出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/S0273-0979-2013-01421-6
关键词
Lineability; spaceability; algebrability; real and complex analysis; special functions; operator theory; Baire category theorem; hypercyclic manifolds; zeros of polynomials
类别
资金
- Ministerio de Economia y Competitividad [MTM2012-34847-C02-01]
- INCT-Matematica
- CAPES-NF
- CNPq [301237/2009-3, 477124/2012-7]
- [MTM2012-34341]
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.
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