Integral operators and representation of completely linear functionals on spaces with mixed norms

A. V. Bukhvalov

doi:10.1007/bf00967527

journal article May 01, 1975

Integral operators and representation of completely linear functionals on spaces with mixed norms

A. V. Bukhvalov

Siberian Mathematical Journal Vol. 16 No. 3 pp. 368-376 · Springer Science and Business Media LLC

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References

18

[1]

B. Z. Vulikh, Introduction to Theory of Partially Ordered Spaces [in Russian], Fizmatgiz, Moscow (1961).

[2]

A. V. Bukhvalov, “Spaces of vector-functions and tensor products,” Vestn. Leningr. Un-ta, Ser. Matem., Mekh., Astron.,4, No. 19, 5–12 (1973).

[3]

B. Z. Vulikh and G. Ya. Lozanovskii, “Representation of completely linear and regular functionals in partially ordered spaces,” Matem. Sb.,84, (126), No. 3, 331–352 (1971).

[4]

T. Mori, I. Amemiya, and H. Nakano, “On the reflexivity of semicontinuous norms,” Proc. Jap. Acad.,31, 684–685 (1955). 10.2183/pjab1945.31.532

[5]

M. A. Krasnosel'skii and Ya. B. Rumitskii, Convex Functions and Orlicz Spaces [in Russian], Fitmatgiz, Moscow (1958).

[6]

A. V. Bukhvalov, “Analytic representation of operators with abstract norm,” (note), Izv. Vyssh. Ucheb. Zaved., Matem., No. 10, 33 (1972).

[7]

A. V. Bukhvalov, “Analytic representation of operators with abstract norm,” Dokl. AN SSSR,208, No. 5, 1012–1015 (1973).

[8]

M. A. Krasnosel'skii, P. P. Zabreiko, E. I. Pustyl'nik, and P. E. Sobolevskii, Integral Operators in Spaces of Summable Functions [in Russian], Fizmatgiz, Moscow (1966).

[9]

Yu. I. Gribanov, “Measurability of a function,” Izv. Vyssh. Ucheb. Zaved., Matem.,3, 22–25 (1970).

[10]

Yu. I. Gribanov, “Linear operators in complete function spaces,” Pt. 3, Izv. Vyssh. Ucheb. Zaved., Matem.,9, 37–44 (1970).

[11]

H. Dunford and J. T. Schwarz, Linear Operators. General Theory [Russian translation], Izd-vo Inostr. Lit., Moscow (1962).

[12]

Linear operations on summable functions

Nelson Dunford, B. J. Pettis

Transactions of the American Mathematical Society 1940 10.1090/s0002-9947-1940-0002020-4

[13]

V. L. Levin, “Tensor products and functors in categories of Banach spaces definable by KB-lineals,” Tr. Mosk. Mat. Ob-va,20, 43–82 (1969).

[14]

A. Grothendieck, Produits Tensoriels Topologiques et Espaces Nucleaires, Providence (1955). 10.1090/memo/0016

[15]

V. B. Korotkov, “Integral operators with kernels satisfying the Karleman and Akhiezer condition,” Pt. 1, Sib. Mat. Zh.,12, No. 5, 1041–1055 (1971).

[16]

L. V. Kantorovich, B. Z. Vulikh, and A. G. Pinsker, Functional Analysis in Partially Ordered Spaces, Gostekhizdat, Moscow-Leningrad (1950).

[17]

J. J. Uhl, “On a class of operators on Orlicz spaces,” Stud. Math.,40, No. 1, 17–22 (1971). 10.4064/sm-40-1-17-22

[18]

A. C. Zaanen, “Banach function spaces,” Proc. Internat. Symp. Linear Spaces, Jerusalem (1960). 448–452 (1961).

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Published: May 01, 1975
Vol/Issue: 16(3)
Pages: 368-376
License: View

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A. V. Bukhvalov

Cite This Article

A. V. Bukhvalov (1975). Integral operators and representation of completely linear functionals on spaces with mixed norms. Siberian Mathematical Journal, 16(3), 368-376. https://doi.org/10.1007/bf00967527

Integral operators and representation of completely linear functionals on spaces with mixed norms

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