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Bulletin of the American Mathematical Society

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Book Review

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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.

References [Enhancements On Off] (What's this?)

  • 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 399929
  • 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. Lawrence Lessner, Lattice properties of integral operators, Proc. Amer. Math. Soc. 72 (1978), no. 3, 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. Indag. Math. 41 (1979), no. 1, 39–53. MR 528217

Review Information:

Reviewer: Adriaan Zaanen
Journal: Bull. Amer. Math. Soc. 1 (1979), 953-960
American Mathematical Society