On some Banach lattices. III. (English. Russian original) Zbl 0269.46008

Sib. Math. J. 13(1972), 910-916 (1973); translation from Sib. Mat. Zh. 13, 1304-1313 (1972).


46A40 Ordered topological linear spaces, vector lattices
46B99 Normed linear spaces and Banach spaces; Banach lattices
Full Text: DOI


[1] G. Ya. Lozanovskii, ?On some Banach lattices,? Sibirsk. Matem. Zh.,10, No. 3, 584-599 (1969).
[2] G. Ya. Lozanovskii, ?On some Banach lattices. II,? Sibirsk. Matem. Zh.,12, No. 3, 582-587 (1971).
[3] A. P. Calderon, ?Intermediate spaces and interpolation, the complex method,? Studia Math.,24, No. 2, 113-190 (1964).
[4] G. Ya. Lozanovskii, ?On a realization of spaces of regular functionals, and some of its applications,? Dokl. Akad. Nauk SSSR.,188, No. 3, 522-524 (1969).
[5] B. Z. Vulikh and G. Ya. Lozanovskii, ?On the representation of completely linear and regular functionals in partially ordered spaces,? Matem. Sb.,84, (126), No. 3, 331-352 (1971).
[6] G. Ya. Lozanovskii, On Banach Spaces Equivalent to KB-lineals, Gertsen Study XXIV, Mathematics [in Russian], Len. Ped. Inst. im A. I. Gertsen. March?April (1971), pp. 52-54.
[7] S. G. Krein, Yu. I. Petunin, and E. M. Semenov, ?Scales of Banach lattices of measurable functions,? Trudy Moskov. Matem. Obshch.,17, 293-322 (1967).
[8] B. Z. Vulikh, Introduction to the Theory of Partially Ordered Spaces [in Russian], Fizmatgiz, Moscow (1961). · Zbl 0101.08501
[9] G. Ya. Lozanovskii, ?On completely linear functionals in partially ordered spaces,? Matem. Zametki,8, No. 2, 187-195 (1970).
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