Integral transformations and their resolvents in Orlicz and Lebesgue spaces

A. C. Zaanen

Compositio Mathematica (1952)

  • Volume: 10, page 56-94
  • ISSN: 0010-437X

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Zaanen, A. C.. "Integral transformations and their resolvents in Orlicz and Lebesgue spaces." Compositio Mathematica 10 (1952): 56-94. <http://eudml.org/doc/88795>.

@article{Zaanen1952,
author = {Zaanen, A. C.},
journal = {Compositio Mathematica},
keywords = {functional analysis},
language = {eng},
pages = {56-94},
publisher = {Kraus Reprint},
title = {Integral transformations and their resolvents in Orlicz and Lebesgue spaces},
url = {http://eudml.org/doc/88795},
volume = {10},
year = {1952},
}

TY - JOUR
AU - Zaanen, A. C.
TI - Integral transformations and their resolvents in Orlicz and Lebesgue spaces
JO - Compositio Mathematica
PY - 1952
PB - Kraus Reprint
VL - 10
SP - 56
EP - 94
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/88795
ER -

References

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  1. S. Banach [1] Théorie des Opérations linéaires, Warsaw (1932). Zbl0067.08902
  2. E. Hille and J.D. Tamarkin [2] On the theory of linear integral equations II, Annals of Math.35 (1934), 445—455. Zbl0009.40201JFM60.0315.01
  3. N. Dunford and B.J. Pettis [3] Linear operations on summable functions, Transactions Amer. Math. Soc.47 (1940), 323—392. Zbl0023.32902JFM66.0556.01
  4. R.S. Phillips [4] On linear transformations, Transactions Amer. Math. Soc.48 (1940), 516-541. Zbl0025.34202MR4094JFM66.0554.01
  5. W. Orlicz [5] Ueber eine gewisse Klasse von Räumen vom Typus B, Bull. de l'Acad. Polonaise, classe A (1932), 207—220. Zbl0006.31503JFM58.0422.02
  6. A. Zygmund [6] Trigonometrical Series, 4.541, Warsaw (1935). Zbl0011.01703JFM61.0263.03
  7. A.C. Zaanen [7] Note on a certain class of Banach spaces, Proc. Kon. Ned. Akad. v. Wet. (Amsterdam) 52 (1949), 488—498(Indagationes Math.11, 148—158). Zbl0033.06701
  8. M. Morse and W. Transue [8] Functionals F bilinear over the product A × B of two pseudo-normed vector spaces II, Admissable spaces A, Annals of Math.51 (1950), 576—614. Zbl0036.36301
  9. A.C. Zaanen [9] On a certain class of Banach spaces, Annals of Math.47 (1946), 654—666 Zbl0060.27505
  10. T. Carleman [10] Zur Theorie der linearen Integralgleichungen, Math. Zeitschrift9 (1921), 196—217. JFM48.1249.01
  11. F. Smithies [11] The Fredholm theory of integral equations, Duke Math. Journal8 (1941), 107—130. Zbl0025.06003JFM67.0376.02
  12. I.A. Nikovič [12] On the Fredholm series, Doklady Akad. Nauk SSSR (N.S.) 59 (1948), 423—425 Zbl0031.03002
  13. M.H. Stone [13] Linear transformations in Hilbert space, New York (1932). JFM58.0420.02
  14. S. Saks [14] Theory of the integral, Warsaw (1937). Zbl0017.30004JFM63.0183.05
  15. E. Hille [15] Functional Analysis and Semi-groups, New York (1948). Zbl0033.06501MR25077
  16. F. Riesz [16] Ueber lineare Funktionalgleichungen, Acta Math.41 (1918), 71—98. Zbl46.0635.01JFM46.0635.01
  17. J. Schauder [17] Ueber lineare vollstetige Funktionaloperationen, Studia Math.2 (1930), 183-196. Zbl56.0354.01JFM56.0354.01
  18. A.C. Zaanen [18] On linear functional equations, Nw Arch. v. Wisk. (2) 22 (1948), 269-282. Zbl0030.03402MR24070
  19. A. Hurwitz— R. Courant [19] Funktionentheorie, third ed., Berlin (1929). 

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