Weyl type theorem for operator matrices

Xiaohong Cao

Studia Mathematica (2008)

  • Volume: 186, Issue: 1, page 29-39
  • ISSN: 0039-3223

Abstract

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Using topological uniform descent, we give necessary and sufficient conditions for Browder's theorem and Weyl's theorem to hold for an operator A. The two theorems are liable to fail for 2 × 2 operator matrices. In this paper, we explore how they survive for 2 × 2 operator matrices on a Hilbert space.

How to cite

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Xiaohong Cao. "Weyl type theorem for operator matrices." Studia Mathematica 186.1 (2008): 29-39. <http://eudml.org/doc/284938>.

@article{XiaohongCao2008,
abstract = {Using topological uniform descent, we give necessary and sufficient conditions for Browder's theorem and Weyl's theorem to hold for an operator A. The two theorems are liable to fail for 2 × 2 operator matrices. In this paper, we explore how they survive for 2 × 2 operator matrices on a Hilbert space.},
author = {Xiaohong Cao},
journal = {Studia Mathematica},
keywords = {Weyl's theorem; Browder's theorem; topological uniform decent},
language = {eng},
number = {1},
pages = {29-39},
title = {Weyl type theorem for operator matrices},
url = {http://eudml.org/doc/284938},
volume = {186},
year = {2008},
}

TY - JOUR
AU - Xiaohong Cao
TI - Weyl type theorem for operator matrices
JO - Studia Mathematica
PY - 2008
VL - 186
IS - 1
SP - 29
EP - 39
AB - Using topological uniform descent, we give necessary and sufficient conditions for Browder's theorem and Weyl's theorem to hold for an operator A. The two theorems are liable to fail for 2 × 2 operator matrices. In this paper, we explore how they survive for 2 × 2 operator matrices on a Hilbert space.
LA - eng
KW - Weyl's theorem; Browder's theorem; topological uniform decent
UR - http://eudml.org/doc/284938
ER -

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