### Abstract

Original language | English |
---|---|

Pages (from-to) | 137-151 |

Number of pages | 15 |

Journal | Mediterranean Journal of Mathematics |

Volume | 2 |

Publication status | Published - 2005 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

*Mediterranean Journal of Mathematics*,

*2*, 137-151.

**Browder's theorems through localized SVEP.** / Aiena, Pietro; Biondi, Maria Teresa.

Research output: Contribution to journal › Article

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

}

TY - JOUR

T1 - Browder's theorems through localized SVEP

AU - Aiena, Pietro

AU - Biondi, Maria Teresa

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

KW - Operator ; Property ; theorem holds

UR - http://hdl.handle.net/10447/7422

M3 - Article

VL - 2

SP - 137

EP - 151

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

SN - 1660-5446

ER -