### Abstract

A bounded linear operator T ∈ L(X) on aBanach space X is said to satisfy "Browder's theorem" if the Browder spectrum coincides with the Weyl spectrum. T ∈ L(X) is said to satisfy "a-Browder's theorem" if the upper semi-Browder spectrum coincides with the approximate point Weyl spectrum. In this note we give several characterizations of operators satisfying these theorems. Most of these characterizations are obtained by using a localized version of the single-valued extension property of T. In the last part we shall give some characterizations of operators for which "Weyl's theorem" holds.

Lingua originale | English |
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pagine (da-a) | 137-151 |

Numero di pagine | 15 |

Rivista | Mediterranean Journal of Mathematics |

Volume | 2 |

Stato di pubblicazione | Published - 2005 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cita questo

Aiena, P., & Biondi, M. T. (2005). Browder's theorems through localized SVEP.

*Mediterranean Journal of Mathematics*,*2*, 137-151.