Axioms for convenient calculus

Alfred Frölicher

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2004)

  • Volume: 45, Issue: 4, page 267-286
  • ISSN: 1245-530X

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Frölicher, Alfred. "Axioms for convenient calculus." Cahiers de Topologie et Géométrie Différentielle Catégoriques 45.4 (2004): 267-286. <http://eudml.org/doc/91686>.

@article{Frölicher2004,
author = {Frölicher, Alfred},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {convenient calculus; bornology},
language = {eng},
number = {4},
pages = {267-286},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Axioms for convenient calculus},
url = {http://eudml.org/doc/91686},
volume = {45},
year = {2004},
}

TY - JOUR
AU - Frölicher, Alfred
TI - Axioms for convenient calculus
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2004
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 45
IS - 4
SP - 267
EP - 286
LA - eng
KW - convenient calculus; bornology
UR - http://eudml.org/doc/91686
ER -

References

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  1. [1] Boman, J.: Differentiability of a function and of its compositions with functions of one variable, Math. Scand.20 (1967), 249-268. Zbl0182.38302MR237728
  2. [2] Dieudonné, J.: Foundations of Modem Analysis, Academic Press, New York and London, 1960. Zbl0100.04201MR120319
  3. [3] Faure, C.-A.: Sur un théorème de Boman, C. R. Acad. Sci. Paris Sér. I Math.309 (1989), 1003-1006. Zbl0693.26010MR1054522
  4. [4] Faure, C.-A. and Frölicher, A.: Hölder Differentiable Maps and their Function Spaces, Categorical Topology, World Scientific, Singapore1989, 135-142. MR1047896
  5. [5] Faure, C.A. and Frölicher, A.: The Uniform Boundedness Principle for Bomological Vector Spaces, Arch. Math.62 (1994), 270-277. Zbl0792.46003MR1259843
  6. [6] Frölicher, A.: Applications lisses entre espaces et variétés de Fréchet, C.R. Acad. Sci.293 (1981), 125-127. Zbl0471.46028MR637107
  7. [7] Frölicher, A. and Kriegl, A.: Linear Spaces and Differentiation Theory, J. Wiley and Sons, Chichester, 1988. Zbl0657.46034MR961256
  8. [8] Hogbe, N.: Bornologies and Functional Analysis, North-Holland, 1977. Zbl0359.46004MR500064
  9. [9] Kriegl, A. and Michor, P.: The Convenient Setting of Global Analysis, Mathematical Surveys and Monographs Vol. 53, A. M. S.1997. Zbl0889.58001MR1471480

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