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García-Pacheco, F.J. and Martín, M. and Seoane-Sepúlveda, Juan B.
(2009)
*Lineability, spaceability, and algebrability of certain subsets of function spaces.*
Taiwanese Journal of Mathematics, 13
(4).
pp. 1257-1269.
ISSN 1027-5487

PDF
Restringido a Repository staff only 100kB |

Official URL: http://journal.taiwanmathsoc.org.tw/index.php/TJM/article/view/463/349

## Abstract

We construct infinite-dimensional Banach spaces and infinitely generated Banach algebras of functions that, except for 0, satisfy some kind of special or pathological property. Three of these structures are: a Banach algebra of everywhere continuous bounded functions which are not Riemann-integrable; a Banach space of Lebesgue-integrable functions that are not Riemann-integrable; an algebra of continuous unbounded functions defined on an arbitrary non-compact metric space.

Item Type: | Article |
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Uncontrolled Keywords: | Riemann integrable; Lebesgue integrable; Continuous unbounded functions |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 20032 |

Deposited On: | 21 Feb 2013 15:24 |

Last Modified: | 25 Nov 2016 12:45 |

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