Article
Linear subsets of nonlinear sets in topological vector spaces
Author/s | Bernal González, Luis
Pellegrino, Daniel M. Seoane Sepúlveda, Juan Benigno |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2014-01 |
Deposit Date | 2019-06-21 |
Published in |
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Abstract | 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 ... 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. |
Project ID. | MTM2012-34847-C02-01
301237/2009-3 477124/2012-7 MTM2012-34341 |
Citation | Bernal González, L., Pellegrino, D.M. y Seoane Sepúlveda, J.B. (2014). Linear subsets of nonlinear sets in topological vector spaces. Bulletin of the American Mathematical Society, 51 (1), 71-130. |
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