This is a preview of subscription content, log in via an institution to check access.
Literature Cited
A. V. Bukhvalov, “Integral representation of linear operators,” Zapiski Nauchn. Semin., LOMI, V. A. Steklov Institute of Mathematics, Leningrad Branch17, 5–14 (1974).
A. V. Bukhvalov, “Applications of the methods of order bounded operators to the theory of operators in the Lp spaces,” Usp. Mat. Nauk,38, No. 6, 37–83 (1983).
V. B. Korotkov, Integral Operators [in Russian], Nauka, Novosibirsk (1983).
V. B. Korotkov, “Some problems in the theory of integral operators,” Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR, Novosibirsk (1988).
W. Arveson, “Operator algebras and invariant subspaces,” Ann. Math.,100, No. 2, 433–532 (1974).
A. R. Sourour, “Characterization and order properties of pseudointegral operators,” Pacific J. Math.,99, No. 1, 145–158 (1982).
A. G. Kusraev, “Integral representation of majorized operators of measurable vectorvalued functions,” Dokl. Akad. Nauk SSSR,293 No. 4, 788–792 (1987).
A. G. Kusraev, “Linear operators in lattice normed spaces,” Studies in “Global” Geometry and Mathematical Analysis [in Russian], Vol. 9, Nauka, Novosibirsk (1978), pp. 84–123.
T. A. Kevin, “Representation of compact and weakly compact operators on the space of Bochner integrable functions,” Pacific J. Math.,92, No. 2, 257–267 (1981).
V. G. Navodnov, “Integral representation of operators acting from a Banach space of measurable vector-valued functions into a Banach space,” Izv. Vuzov. Mat., No. 3, 82–84 (1983).
N. Dinculeanu, Vector Measures, VEB Deutscher Verlag der Wissenschaften, Berlin (1966).
G. N. Shotaev, “Bilinear operators in lattice normed spaces,” Optimizatsiya, No. 37, 38–50 (1986).
S. S. Kutateladze, Foundations of Functional Analysis [in Russian], Nauka, Novosibirsk (1983).
A. G. Kusraev, Vector Duality and Its Applications [in Russian], Nauka, Novosibirsk (1985).
L. V. Kantorovich, B. Z. Vulikh, and A. G. Pinsker, Functional Analysis in Semi-Ordered Spaces [in Russian], Gostekhizdat, Moscow-Leningrad (1950).
B. Z. Vulikh, Introduction to the Theory of Semi-Ordered Spaces [in Russian], Fizmatgiz, Moscow (1961).
V. L. Levin, Convex Analysis in Spaces of Measurable Functions and Its Applications in Mathematics and Economics [in Russian], Nauka, Moscow (1985).
E. V. Kolesnikov, A. G. Kusraev, and S. A. Malyugin, “Majorizable operators,” Preprint, Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR, No. 26 (1988).
A. V. Bukhvalov, “Analytic representation of operators with an abstract norm,” Izv. Vuzov. Mat., No. 11, 21–32 (1975).
Additional information
Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 5, pp. 149–156, September–October, 1990.
Rights and permissions
About this article
Cite this article
Tibilov, K.T. Pseudointegral operators in the spaces of measurable vector-valued functions. Sib Math J 31, 827–833 (1990). https://doi.org/10.1007/BF00974497
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00974497