On spectral properties of linear combinations of idempotents

• Autorzy: Hong-Ke Du , Chun-Yan Deng , Mostafa Mbekhta , Vladimír Müller
• Języki publikacji: EN

Abstrakty

EN

Let P,Q be two linear idempotents on a Banach space. We show that the closedness of the range and complementarity of the kernel (range) of linear combinations of P and Q are independent of the choice of coefficients. This generalizes known results and shows that many spectral properties of linear combinations do not depend on their coefficients.

Kategorie tematyczne

• 47A56: Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones)
• 47B99: None of the above, but in this section
• 15A99: Miscellaneous topics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 180
• Numer: 3
• Strony: 211-217

Daty

wydano

2007

Twórcy

autor

Hong-Ke Du

• College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, P.R. China

autor

Chun-Yan Deng

• College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, P.R. China

autor

Mostafa Mbekhta

• Université Lille 1, UFR Mathématique, 59655 Villeneuve d'Ascq, France

autor

Vladimír Müller

• Mathematical Institute, Czech Academy of Sciences, Žitná 25, 115 67 Praha 1, Czech Republic

Identyfikatory

DOI

10.4064/sm180-3-2