Measure Theoretic Zero Sets in Infinite Dimensional Spaces and Applications to Differentiability of Lip-Schitz Mappings

Jens Peter Reus Christensen

Publications du Département de mathématiques (Lyon) (1973)

  • Volume: 10, Issue: 2, page 29-39
  • ISSN: 0076-1656

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Christensen, Jens Peter Reus. "Measure Theoretic Zero Sets in Infinite Dimensional Spaces and Applications to Differentiability of Lip-Schitz Mappings." Publications du Département de mathématiques (Lyon) 10.2 (1973): 29-39. <http://eudml.org/doc/273361>.

@article{Christensen1973,
author = {Christensen, Jens Peter Reus},
journal = {Publications du Département de mathématiques (Lyon)},
language = {eng},
number = {2},
pages = {29-39},
publisher = {Université Claude Bernard - Lyon 1},
title = {Measure Theoretic Zero Sets in Infinite Dimensional Spaces and Applications to Differentiability of Lip-Schitz Mappings},
url = {http://eudml.org/doc/273361},
volume = {10},
year = {1973},
}

TY - JOUR
AU - Christensen, Jens Peter Reus
TI - Measure Theoretic Zero Sets in Infinite Dimensional Spaces and Applications to Differentiability of Lip-Schitz Mappings
JO - Publications du Département de mathématiques (Lyon)
PY - 1973
PB - Université Claude Bernard - Lyon 1
VL - 10
IS - 2
SP - 29
EP - 39
LA - eng
UR - http://eudml.org/doc/273361
ER -

References

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  1. 1) V.I. Averbukh and O.G. Smolyanov, The theory of differentiation in linear topological spaces, Russian Mathematical Surveys, Volume 22 Number 6 November-December 1967 p 201-258. Zbl0312.46054MR223886
  2. 2) E. Asplund, Fréchet differentiability of convex functions, Acta Math.121 (1968) p 31-47. Zbl0162.17501MR231199
  3. 3) Jens Peter Reus Christensen, On sets of Haar measure zero in abelian Polish groups, Israel Journal of MathematicsProceedings of the International symposium on partial differential equations and the geometry of normed linear spaces, Part II, Vol. 13, Nos 3-4 (1972) p 255-260. Zbl0249.43002MR326293
  4. 4) S.D. Chatterjii, Martingale convergence and the Radon Nikodym theorem in Banach spaces, Math. Scand.22 (1968) p 21-41. Zbl0175.14503MR246341
  5. 5) P. Mankiewicz, On lipschitz mappings between Prechet spaces, To appear in Studia Mathematica (1972 ?) Zbl0237.46004MR308724
  6. 6) H. Rademacher, Über partielle und totale Differenzier-barke it von Punktionen mehrerer Variabein und über die Transformation der Doppelintegrale, Math. Ann.79 (1919) p 340-359 MR1511935JFM47.0243.01

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