Stability of infinite ranges and kernels

• Autorzy: K.-H. Förster , V. Müller
• Języki publikacji: EN

Abstrakty

EN

Let A(·) be a regular function defined on a connected metric space G whose values are mutually commuting essentially Kato operators in a Banach space. Then the spaces $R^{∞}(A(z))$ and $\overline{N^{∞}(A(z))}$ do not depend on z ∈ G. This generalizes results of B. Aupetit and J. Zemánek.

Kategorie tematyczne

• 47A56: Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones)
• 47A53: (Semi-) Fredholm operators; index theories

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 174
• Numer: 1
• Strony: 61-73

Daty

wydano

2006

Twórcy

autor

K.-H. Förster

• Department of Mathematics, Technical University Berlin, Strasse des 17. Juni 135, D-10623 Berlin, Germany

autor

V. Müller

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

Identyfikatory

DOI

10.4064/sm174-1-5