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On the convergence of Neumann series in Banach space. (English) Zbl 0304.47016

##### MSC:
 47A50 Equations and inequalities involving linear operators, with vector unknowns 47B06 Riesz operators; eigenvalue distributions; approximation numbers, $$s$$-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
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##### References:
 [1] Dunford, N., Schwartz, J.: Linear operators, Part I. New York: Interscience 1958 · Zbl 0084.10402 [2] Neumann, C.: Untersuchungen über das logarithmische und Newtonsche Potential. Leipzig: Teubner 1877 · JFM 10.0658.05 [3] Riesz, F.: Complete works. II. Budapest: Académiai Kiadó 1960 [4] : Sur certains systéms singuliers d’équations integrales. Ann. École Norm. Sup.28 (3), 33-62 (1911) · JFM 42.0374.03 [5] Über lineare Funktionalgleichungen. Acta Math.41, 71-98 (1918) · JFM 46.0635.01
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