### Abstract

Lingua originale | English |
---|---|

pagine (da-a) | 215-228 |

Numero di pagine | 14 |

Rivista | Mediterranean Journal of Mathematics |

Volume | 4 |

Stato di pubblicazione | Published - 2007 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cita questo

*Mediterranean Journal of Mathematics*,

*4*, 215-228.

**Generalized Browder's theorem and SVEP.** / Aiena, Pietro; Garcia, Orlando.

Risultato della ricerca: Article

*Mediterranean Journal of Mathematics*, vol. 4, pagg. 215-228.

}

TY - JOUR

T1 - Generalized Browder's theorem and SVEP

AU - Aiena, Pietro

AU - Garcia, Orlando

PY - 2007

Y1 - 2007

N2 - A bounded operator T∈L(X),X a Banach space, is said to verify generalized Browder’s theorem if the set of all spectral points that do not belong to the B-Weyl’s spectrum coincides with the set of all poles of the resolvent of T, while T is said to verify generalized Weyl’s theorem if the set of all spectral points that do not belong to the B-Weyl spectrum coincides with the set of all isolated points of the spectrum which are eigenvalues. In this article we characterize the bounded linear operators T satisfying generalized Browder’s theorem, or generalized Weyl’s theorem, by means of localized SVEP, as well as by means of the quasi-nilpotent part H0(λI − T) as λ belongs to certain subsets of C. In the last part we give a general framework for which generalized Weyl’s theorem follows for several classes of operators

AB - A bounded operator T∈L(X),X a Banach space, is said to verify generalized Browder’s theorem if the set of all spectral points that do not belong to the B-Weyl’s spectrum coincides with the set of all poles of the resolvent of T, while T is said to verify generalized Weyl’s theorem if the set of all spectral points that do not belong to the B-Weyl spectrum coincides with the set of all isolated points of the spectrum which are eigenvalues. In this article we characterize the bounded linear operators T satisfying generalized Browder’s theorem, or generalized Weyl’s theorem, by means of localized SVEP, as well as by means of the quasi-nilpotent part H0(λI − T) as λ belongs to certain subsets of C. In the last part we give a general framework for which generalized Weyl’s theorem follows for several classes of operators

UR - http://hdl.handle.net/10447/5526

M3 - Article

VL - 4

SP - 215

EP - 228

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

SN - 1660-5446

ER -