Generalized Drazin spectrum of operator matrices

S Zhang, H Zhong, L Lin - Applied Mathematics-A Journal of Chinese …, 2014 - Springer
Abstract Let A∈ B (X) and B∈ B (Y), MC be an operator on Banach space X⊕ Y given by
\left(AC\hfill\0B\hfill\). A generalized Drazin spectrum defined by σ gD (T)= λ∈ ℂ: T− λ I is not …

Spectra of upper-triangular operator matrices

SF ZHANG, HJ ZHONG, J De WU - Acta Mathematica Sinica …, 2011 - actamath.cjoe.ac.cn
Let X and Y be Banach spaces, A∈ B (X), B∈ B (Y), C∈ B (Y, X), MC=(A0 CB) be the
operator matrix acting on the Banach space X⊕ Y. In this paper, we give out 20 kind spectra …

[HTML][HTML] Spectral continuity using ν-convergence

S Sánchez-Perales, SV Djordjević - Journal of Mathematical Analysis and …, 2016 - Elsevier
Let T, T n, n∈ N, be bounded linear operators defined on a Banach space X such that {T n}
converges to T in ν-convergence (this new mode of convergence was observed by Mario …

[HTML][HTML] Some properties of the Wolf and Weyl essential spectra of a sequence of linear operators ν-convergent

A Ammar - Indagationes Mathematicae, 2017 - Elsevier
This work is devoted to the investigation of some properties of the essential spectra of a
sequence of bounded linear operators by referring back to ν-convergence in a Banach …

A condition for spectral continuity of positive elements

S Mouton - Proceedings of the American Mathematical Society, 2009 - ams.org
Let $ a $ be an element of a Banach algebra $ A $. We introduce a compact subset $ T (a) $
of the complex plane, show that the function which maps $ a $ onto $ T (a) $ is upper …

Continuity of spectrum and approximate point spectrum on operator matrices

S Sánchez-Perales, SV Djordjević - Journal of mathematical analysis and …, 2011 - Elsevier
Let X and Y be given Banach spaces. For A∈ B (X), B∈ B (Y) and C∈ B (Y, X), let MC be
the operator defined on X⊕ Y by MC=[AC0B]. In this paper we give conditions for continuity …

Perturbation of Browder spectrum of upper triangular operator matrices

S Zhang, L Zhang, H Zhong - Linear and Multilinear algebra, 2016 - Taylor & Francis
Let be a 2-by-2 upper triangular operator matrix acting on the Banach space or Hilbert
space. For the most important spectra such as spectrum, essential spectrum and Weyl …

2× 2-上三角算子矩阵谱的Fredholm 扰动

张世芳, 钟怀杰, 武俊德 - 数学学报, 2011 - actamath.cjoe.ac.cn
ª »¬µ ¡ Ó Ôà ×310027  ÑÀ È Ò ×350007 Ö Å Â ÑÀ È Ò ×350007 Ç Ôà ×310027 ³ H ÎMC = Ì Ä
ØÆÕMC Í Page 1 54 4Ý 数学学£ ¿½ Vol.54, No.4 2011Ø7月 ACTA MATHEMATICA SINICA …

上三角算子矩阵的谱

SF ZHANG, HJ ZHONG, J De WU - 数学学报, 2011 - actamath.cjoe.ac.cn
¦ »¹· Æ£: A ¬Þ µ Ï Ð ¿ Õ310027 Í ¿ Ä Õ350007 Ó À Í ¿ Ä Õ350007 à Р¿ Õ310027 Ë Ö(AC . ¼
¾Ç Ö Page 1 º54ƺ1 ¦ »¹· Vol.54, No.1 2011 1 ACTA MATHEMATICA SINICA, Chinese Series …

Spectral Continuity Relative to Invariant Subspaces

S Sánchez-Perales, SV Djordjević - Complex Analysis and Operator …, 2017 - Springer
Spectral Continuity Relative to Invariant Subspaces | Complex Analysis and Operator Theory
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