Geodesic
Stability of infinite ranges and kernels
K.-H. Förster 1   ; V. Müller 2
1 Department of Mathematics Technical University Berlin Strasse des 17. Juni 135 D-10623 Berlin, Germany
2 Mathematical Institute Czech Academy of Sciences Žitná 25 115 67 Praha 1, Czech Republic
Studia Mathematica, Tome 174 (2006) no. 1, pp. 61-73 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $A(\cdot )$ 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 $R^\infty (A(z))$ and $\overline {N^\infty (A(z))}$ do not depend on $z\in G$. This generalizes results of B. Aupetit and J. Zemánek.
DOI : 10.4064/sm174-1-5
Keywords: cdot regular function defined connected metric space whose values mutually commuting essentially kato operators banach space spaces infty overline infty depend generalizes results aupetit zem nek

K.-H. Förster  1   ; V. Müller  2

1 Department of Mathematics Technical University Berlin Strasse des 17. Juni 135 D-10623 Berlin, Germany
2 Mathematical Institute Czech Academy of Sciences Žitná 25 115 67 Praha 1, Czech Republic 
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K.-H. Förster; V. Müller. Stability of infinite ranges and kernels. Studia Mathematica, Tome 174 (2006) no. 1, pp. 61-73. doi: 10.4064/sm174-1-5

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