References
C. D. Aliprantis and O. Burkinshaw, “Projecting onto the band of kernel operators,” Houston J. Math.,11, No. 1, 7–13 (1985).
A. G. Kusraev and V. Z. Strizhevskii, “Lattice-normed spaces and dominated operators,” in: Studies on Geometry and Mathematical Analysis [in Russian], Trudy Inst. Mat. (Novosibirsk). Vol. 7, Novosibirsk, Nauka, 1987, pp. 132–158.
E. V. Kolesnikov, “Decomposition of a positive operator,” Sibirsk. Mat. Zh.,30, No. 5, 77–79 (1989).
S. S. Kutateladze, “On fragments of positive operators,” Sibirsk. Mat. Zh.,30, No. 5, 111–119 (1989).
A. V. Bukhvalov, V. B. Korotkov, A. G. Kusraev et al., Vector Lattices and Integral Operators [in Russian], Nauka, Novosibirsk (1992).
B. Lavrič, “On Freudenthal's spectral theorem,” Indag. Math.,48, No. 4, 411–422 (1986).
A. G. Kusraev and S. A. Malyugin, “The order-continuous component of a dominated operator,” Sibirsk. Mat. Zh.,28, No. 4, 127–139 (1987).
E. V. Kolesnikov, “Several order projections generated by ideals of a vector lattice,” Sibirsk. Mat. Zh.,36, No. 6, 1342–1349 (1995).
W. A. J. Luxemburg and A. R. Schep, “A Radon-Nikodým type theorem for positive operators and a dual,” Indag. Math.,40, No. 3, 357–375 (1978).
E. V. Kolesnikov, A. G. Kusraev, and S. A. Malyugin, On Dominated Operators [Preprint, No. 26] [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk (1988).
A. G. Kusraev, “Linear operators in lattice-normed spaces,” in: Studies on Geometry in the Large and Mathematical Analysis [in Russian], Trudy Inst. Mat. (Novosibirsk). Vol. 9, Novosibirsk, Nauka, 1987, pp. 84–123.
A. E. Gutman, “Banach bundles in the theory of lattice-normed spaces,” in: Linear Operators Compatible with Order [in Russian], Trudy Inst. Mat. (Novosibirsk). Vol. 29, Novosibirsk, 1995, pp. 63–211.
Author information
Authors and Affiliations
Additional information
Translated fromSibirskii Matematicheskii Zhurnal, Vol. 37, No. 3, pp. 592–598, May–June, 1996.
Rights and permissions
About this article
Cite this article
Kolesnikov, E.V. In the shadow of a positive operator. Sib Math J 37, 513–518 (1996). https://doi.org/10.1007/BF02104854
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02104854