Bulletin of the American Mathematical Society

MathSciNet review: 1567192
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Book Information:

Authors: P. R. Halmos and V. S. Sunder
Title: Bounded integral operators on $L^2$ spaces
Additional book information: Ergebnisse der Mathematik und ihrer Grenzgebiete no. 96, Springer-Verlag, Berlin and New York, 1978, xv + 134 pp.,$16.50.

A. V. Buhvalov, The integral representation of linear operators, Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 47 (1974), 5–14, 184, 191 (Russian, with English summary). Investigations on linear operators and the theory of functions, V. MR 0399929

Konrad Jörgens, Lineare Integraloperatoren, Mathematische Leitfäden, B. G. Teubner, Stuttgart, 1970 (German). MR 0461049

M. A. Krasnosel′skiĭ, P. P. Zabreĭko, E. I. Pustyl′nik, and P. E. Sobolevskiĭ, Integral′nye operatory v prostranstvakh summiruemykh funktsiĭ, Izdat. “Nauka”, Moscow, 1966 (Russian). MR 0206751

Lawrence Lessner, Lattice properties of integral operators, Proc. Amer. Math. Soc. 72 (1978), no. 3, 497–500. MR 509241, DOI 10.1090/S0002-9939-1978-0509241-4

G. Ja. Lozanovskiĭ, On almost integral operators in $KB$-spaces, Vestnik Leningrad. Univ. 21 (1966), no. 7, 35–44 (Russian, with English summary). MR 0208375

Hidegorô Nakano, Product spaces of semi-ordered linear spaces, J. Fac. Sci. Hokkaido Univ. Ser. I. 12 (1953), 163–210. MR 0062961

Anton Roelof Schep, Kernel operators, Rijksuniversiteit te Leiden, Leiden, 1977. Dissertation, Rijksuniversiteit te Leiden, Leiden; With a Dutch summary. MR 0440404

A. R. Schep, Kernel operators, Nederl. Akad. Wetensch. Indag. Math. 41 (1979), no. 1, 39–53. MR 528217

1.

A. V. Buhvalov, The integral representation of linear operators (Investigations on linear operators and the theory of functions), Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI) 47 (1974), 5-14; English transl., J. Soviet Math. 8 (1978), 129-137. MR 0399929

2.

K. Jörgens, Lineare Integraloperatoren, B. G. Teubner, Stuttgart, 1970. MR 461049

3.

M. A. Krasnosel'skiĭ, P. P. Zabreĭko, E. I. Pustyl'nik and P. E. Sobolevskiĭ, Integral operators in spaces of summable functions, "Nauka", Moscow, 1966; English transl., Noordhoff, Groningen, 1975. MR 206751

4.

L. Lessner, Lattice properties of integral operators, Proc. Amer. Math. Soc. 72 (1978), 497-500. MR 509241

5.

G. Ya. Lozanovskiĭ, On almost integral operators in KB-spaces, Vestnik Leningrad. Gos. Univ. 7 (1966), 35-44. MR 208375

6.

H. Nakano, Product spaces of semi-ordered linear spaces, J. Fac. Sci. Hokkaido Univ. Ser. I 12 (1953), 163-210; included in Semi-ordered linear spaces, Japan Society for the Promotion of Science, Tokyo, 1955. MR 62961

7.

A. R. Schep, Kernel operators, thesis, Leiden Univ., 1977. MR 440404

8.

A. R. Schep, Kernel operators, Nederl. Akad. Wetensch. Proc. Ser. A 82 (1979), 39-53 = Indag. Math. 41 (1979), 39-53. MR 528217