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Semenov, E.M. and Tradacete, P. and Hernández, Francisco L.
(2016)
*Strictly singular operators in pairs of L (p) space.*
Doklady Mathematics, 94
(1).
pp. 450-452.
ISSN 1064-5624

PDF
Restringido a Repository staff only 142kB |

Official URL: http://link.springer.com/article/10.1134/S1064562416040281

## Abstract

Let E and F be Banach spaces. A linear operator from E to F is said to be strictly singular if, for any subspace Q aS, E, the restriction of A to Q is not an isomorphism. A compactness criterion for any strictly singular operator from L (p) to L (q) is found. There exists a strictly singular but not superstrictly singular operator on L (p) , provided that p not equal 2.

Item Type: | Article |
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Uncontrolled Keywords: | Banach-lattices; Compact |

Subjects: | Sciences > Mathematics > Mathematical analysis |

ID Code: | 39717 |

Deposited On: | 02 Nov 2016 08:48 |

Last Modified: | 04 Nov 2016 08:43 |

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