Diagonal operators on spaces of measurable functions

M. Orhon; T. Terzioglu

Mémoires de la Société Mathématique de France (1972)

  • Volume: 31-32, page 265-270
  • ISSN: 0249-633X

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Orhon, M., and Terzioglu, T.. "Diagonal operators on spaces of measurable functions." Mémoires de la Société Mathématique de France 31-32 (1972): 265-270. <http://eudml.org/doc/94620>.

@article{Orhon1972,
author = {Orhon, M., Terzioglu, T.},
journal = {Mémoires de la Société Mathématique de France},
language = {eng},
pages = {265-270},
publisher = {Société mathématique de France},
title = {Diagonal operators on spaces of measurable functions},
url = {http://eudml.org/doc/94620},
volume = {31-32},
year = {1972},
}

TY - JOUR
AU - Orhon, M.
AU - Terzioglu, T.
TI - Diagonal operators on spaces of measurable functions
JO - Mémoires de la Société Mathématique de France
PY - 1972
PB - Société mathématique de France
VL - 31-32
SP - 265
EP - 270
LA - eng
UR - http://eudml.org/doc/94620
ER -

References

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  1. [1] CROFTS (G.). — Concerning perfect Fréchet spaces and diagonal transformations. Math. Ann. 182, 67-76, (1969). Zbl0165.46902MR40 #3256
  2. [2] DIEUDONNÉ (J.). — Sur les espaces de Köthe. J. Analyse Math. 1, 81-115, (1951). Zbl0044.11703MR12,834b
  3. [3] GROTHENDIECK (A.). — Produits tensoriels topologiques et espaces nucléaires. Mém. Amer. Math. Soc., N° 16 (1955). Zbl0123.30301MR17,763c
  4. [4] HARTE (R. E.). — Modules over a Banach algebra. Ph. D. thesis. Cambridge, 1964. 
  5. [5] KOTHE (G.). — Topologische lineare Räume I. Springer-Verlag, 1960. Zbl0093.11901
  6. [6] ORHON (M.). — Vector semi-norms on modules. Ph. D. thesis, University of Wales, 1969. 
  7. [7] ORHON (M.). — On the Hahn-Banach theorem for modules over C(S). J. London Math. Soc. (2), 1, 363-368 (1969). Zbl0181.40102MR40 #3290
  8. [8] PERESSINI (A. L.). — Ordered topological vector spaces. Harper and Row. 1967. Zbl0169.14801MR37 #3315
  9. [9] RIEFFEL (M. A.). — Induced Banach representations of Banach algebras and locally compact groups. J. Func. Anal. 1, 443-491, (1967). Zbl0181.41303MR36 #6544
  10. [10] SCHAEFER (H. H.). — Topological vector spaces. Macmillan 1966. Zbl0141.30503MR33 #1689
  11. [11] TONG (A.). — Diagonal nuclear operators on 1p-spaces. Trans. Amer. Math. Soc., 143, 237-247, (1969). Zbl0186.45602MR40 #4786
  12. [12] WELLAND (R.). — On Köthe spaces. Trans. Amer. Math. Soc., 112, 267-277, (1964). Zbl0122.11501MR30 #2336
  13. [13] ZAANEN (A. C.). — Integration. North-Holland 1967. Zbl0175.05002MR36 #5286

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