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Literature Cited
L. V. Kantorovich, “On the general theory of operations in partially ordered spaces,” Dokl. Akad. Nauk SSSR,1, No. 7, 271–274 (1936).
L. V. Kantorovich, B. Z. Vulikh, and A. G. Pinsker, Functional Analysis in Partially Ordered Spaces [in Russian], Gostekhizdat, Moscow-Leningrad (1950).
A. G. Kusraev and V. Z. Strizhevskii, Lattice-normed spaces and majorized operators,” Issled. Geom. Anal., Tr. Inst. Mat. (Novosibirsk),7, 132–158 (1987).
A. G. Kusraev, “Linear operators in lattice-normed spaces,” in: Issled. Geom. “v Tselom” i Mat. Anal., Trudy Inst. Mat. (Novosibirsk),9, 84–123 (1987).
H. H. Schaefer, Banach Lattices and Positive Operators, Springer-Verlag, New York (1974).
H. H. Schaefer, “On the o-spectrum of order bounded operators,” Math. Z.,154, 79–84 (1977).
W. Arendt, “On the o-spectrum of regular operators and the spectrum of measures,” Math. Z.,178, No. 2, 271–287 (1981).
N. Burbaki (N. Bourbaki), General Topology. Functional Spaces [Russian translation], Nauka, Moscow (1975).
Additional information
Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 32, No. 1, pp. 148–152, January–February, 1991.
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Cherdak, V.B. Order spectrum of r-compact operators in lattice normed spaces. Sib Math J 32, 123–126 (1991). https://doi.org/10.1007/BF00970168
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DOI: https://doi.org/10.1007/BF00970168