On the isometries of reflexive Orlicz spaces

Gunter Lumer

Annales de l'institut Fourier (1963)

  • Volume: 13, Issue: 1, page 99-109
  • ISSN: 0373-0956

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Lumer, Gunter. "On the isometries of reflexive Orlicz spaces." Annales de l'institut Fourier 13.1 (1963): 99-109. <http://eudml.org/doc/73803>.

@article{Lumer1963,
author = {Lumer, Gunter},
journal = {Annales de l'institut Fourier},
keywords = {functional analysis},
language = {eng},
number = {1},
pages = {99-109},
publisher = {Association des Annales de l'Institut Fourier},
title = {On the isometries of reflexive Orlicz spaces},
url = {http://eudml.org/doc/73803},
volume = {13},
year = {1963},
}

TY - JOUR
AU - Lumer, Gunter
TI - On the isometries of reflexive Orlicz spaces
JO - Annales de l'institut Fourier
PY - 1963
PB - Association des Annales de l'Institut Fourier
VL - 13
IS - 1
SP - 99
EP - 109
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/73803
ER -

References

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  1. [1] S. BANACH, Théorie des opérations linéaires, Warszawa, 1932. Zbl0005.20901JFM58.0420.01
  2. [2] R. V. KADISON, Isometries of operator algebras, Ann. of Math., vol. 54 (1951), pp. 325-338. Zbl0045.06201MR13,256a
  3. [3] M. A. KRASNOSELSKI and Ya. RUTICKI, Convex functions and Orliez spaces, (in Russian), Moscow, 1958. 
  4. [4] J. LAMPERTI, On the isometries of certain function spaces, Pacific J. Math., Vol. 2 (1958), pp. 459-466. Zbl0085.09702MR21 #3764
  5. [5] G. LUMER, Semi-inner-product spaces, Trans. Amer. Math. Soc., Vol. 100 (1961), pp. 29-43. Zbl0102.32701MR24 #A2860
  6. [6] W. A. J. LUXEMBURG, Banach function spaces, Thesis, Assen. 1955. Zbl0068.09204MR17,285a
  7. [7] E. J. McSHANE, Linear functionals on certain Banach spaces, Proc. Amer. Math. Soc., Vol. 1 (1950), pp. 402-408. Zbl0039.11802MR12,110d
  8. [8] W. ORLICZ, Ueber eine gewisse Klasse von Raumen von Typus B, Bulletin, Inst. Acad. Polon. Sci., Ser. A, (1932). Zbl0006.31503JFM58.0422.02
  9. [9] M. H. STONE, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc., Vol. 41 (1937), pp. 375-481. Zbl0017.13502MR1501905JFM63.1173.01
  10. [10] A. ZYGMUND, Trigonometrical series, Warszawa, 1935, (also Dover publ. 1955). Zbl0011.01703JFM61.0263.03

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