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On equivalence of modular function spaces. (English) Zbl 0099.09301


MSC:

46-XX Functional analysis
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[1] I. Amemiya: A generalization of the theorem of Orlicz and Birmbaum, Jour. Fac. Sci. Hokkaido Univ., ser. 1, 12, no. 2 (1956). · Zbl 0074.32202
[2] H. Nakano: Modulared Semi-ordered Linear Spaces, Tokyo (1950). · Zbl 0041.23401
[3] H. Nakano: Topology and Linear Topological Spaces, Tokyo (1951). · Zbl 0042.35903
[4] H. Nakano: Measure Theory (in Jap.), 3, Tokyo (1950). · Zbl 0041.23402
[5] W. Orlicz and Z. Birnbaum: tlber die Verallgemeinerung des Begriffes der zueinander konjugierten Potenzen, Studia Math., 3 (1931). · Zbl 0003.25202
[6] T. Shimogaki: Note on Orlicz-Birnbaum-Amemiya’s theorem, Proc. Japan Acad., 33, no. 6 (1957). · Zbl 0090.32501 · doi:10.3792/pja/1195525023
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