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Luxemburg, W. A. J.; Zaanen, A. C.

Compactness of integral operators in Banach function spaces. (English) Zbl 0106.30804

Math. Ann. 149, 150-180 (1963).
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Cited in 43 Documents

Keywords:

functional analysis
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References:

[1] Andô, T.: On compactness of integral operators. Proc. Acad. Sci. Amsterdam65, 235-239 (1962). · Zbl 0100.11201
[2] Ellis, H. W., andI. Halperin: Function spaces determined by a levelling length function. Canad. J. Math.5, 576-592 (1953). · Zbl 0051.08701 · doi:10.4153/CJM-1953-065-1
[3] Lorentz, G. G., andD. G. Wertheim: Representation of linear functionals on Köthe spaces. Canad. J. Math.5, 568-575 (1953). · Zbl 0051.09002 · doi:10.4153/CJM-1953-064-4
[4] Halperin, I.: Function spaces. Canad. J. Math.5, 273-288 (1953). · Zbl 0052.11303 · doi:10.4153/CJM-1953-031-3
[5] Lorentz, G. G.: Some new functional spaces. Ann. Math.51, 37-55 (1950). · Zbl 0035.35602 · doi:10.2307/1969496
[6] ?? On the theory of spaces ?. Pacific J. Math.1, 411-429 (1950). · Zbl 0040.37801
[7] Dieudonné, J.: Sur les espaces de Köthe. J. d’Anal. Math.1, 81-115 (1951). · Zbl 0044.11703 · doi:10.1007/BF02790084
[8] Luxemburg, W. A. J.: Banach function spaces (thesis Delft). Assen (Netherlands), 1955. · Zbl 0068.09204
[9] ?? andA. C. Zaanen: Some remarks on Banach function spaces. Proc. Acad. Sci. Amsterdam59, 110-119 (1956). · Zbl 0072.32301
[10] Schäffer, J. J.: Function spaces with translations. Math. Ann.137, 209-262 (1959). · Zbl 0089.09402 · doi:10.1007/BF01343353
[11] Ellis, H. W.: On theM T* and ?-conjugates ofL ? spaces. Canad. J. Math.10, 381-391 (1958). · Zbl 0095.09101 · doi:10.4153/CJM-1958-037-4
[12] Gould, G. G.: On a class of integration spaces. J. London Math. Soc.34, 161-172 (1959). · Zbl 0099.09503 · doi:10.1112/jlms/s1-34.2.161
[13] Korenblyum, B. I., S. G. Krein andB. Ya. Levin: On certain nonlinear questions of the theory of singular integrals: Doklady Akad. Nauk SSSR62, 17-20 (1948).
[14] Halperin, I., andW. A. J. Luxemburg: Reflexivity of the length function. Proc. Am. Math. Soc.8, 496-499 (1957). · Zbl 0078.10603 · doi:10.1090/S0002-9939-1957-0087903-X
[15] Halmos, P. R.: Measure theory. New York: 1950. · Zbl 0040.16802
[16] Zaanen, A. C.: An introduction to the theory of integration. Amsterdam-New York: 1958. · Zbl 0081.27703
[17] – Linear Analysis. Amsterdam-New York: 1953. · Zbl 0053.25601
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