Review: P. R. Halmos and V. S. Sunder, Bounded integral operators on $L^2$ spaces
Adriaan Zaanen
Source: Bull. Amer. Math. Soc. (N.S.) Volume 1, Number 6
(1979), 953-960.
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P. R. Halmos, V. S. Sunder, Bounded integral operators on $L^2$ spaces. Ergebnisse der Mathematik und ihrer Grenzgebiete no. 96, Springer-Verlag, Berlin and New York, 1978, xv + 134 pp.,$16.50
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Permanent link to this document: http://projecteuclid.org/euclid.bams/1183544910
References
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.
Mathematical Reviews (MathSciNet): MR399929
2. K. Jörgens, Lineare Integraloperatoren, B. G. Teubner, Stuttgart, 1970.
Zentralblatt MATH: 0207.44602
Mathematical Reviews (MathSciNet): MR461049
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.
Mathematical Reviews (MathSciNet): MR206751
4. L. Lessner, Lattice properties of integral operators, Proc. Amer. Math. Soc. 72 (1978), 497-500.
Zentralblatt MATH: 0423.47004
Mathematical Reviews (MathSciNet): MR509241
Digital Object Identifier: doi:10.1090/S0002-9939-1978-0509241-4
5. G. Ya. Lozanovskiĭ, On almost integral operators in KB-spaces, Vestnik Leningrad. Gos. Univ. 7 (1966), 35-44.
Mathematical Reviews (MathSciNet): MR208375
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.
Zentralblatt MATH: 0051.33901
Mathematical Reviews (MathSciNet): MR62961
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Zentralblatt MATH: 0399.47031
Mathematical Reviews (MathSciNet): MR440404
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Zentralblatt MATH: 0399.47031
Mathematical Reviews (MathSciNet): MR528217
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