A+ CATEGORY SCIENTIFIC UNIT

Weyl type theorem for operator matrices

Volume 186 / 2008

Xiaohong Cao Studia Mathematica 186 (2008), 29-39 MSC: 47A15, 47A53, 47A55. DOI: 10.4064/sm186-1-4

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 $2\times 2$ operator matrices. In this paper, we explore how they survive for $2\times 2$ operator matrices on a Hilbert space.

Authors

  • Xiaohong CaoCollege of Mathematics and Information Science
    Shaanxi Normal University
    Xi'an, 710062, People's Republic of China
    e-mail

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