Skip to main content

Tensorial Convex Functionals and Applications

  • Conference paper
Advances in Optimization

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 382))

  • 149 Accesses

Abstract

The basic idea of this paper is that of tensor products which associate to a multilinear mapping β(x1,…, xn) on the v.s. E1 ×…× En, the linear mapping λ(x1,…, xn) on the tensor product E1 ⊗…⊗ En.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

Bibliography

  1. M. ATTEIA, Fonctionnelles tensoriellement convexes. Séminaire d’Analyse Numérique, 1988–1989.

    Google Scholar 

  2. J.M. BALL, Convexity conditions and existence theorems in non linear elasticity (Rat. Meen. Anal. 63, 1977).

    Google Scholar 

  3. D. DACOROGNA, Directs methods in the calculus of variations, Springer-Verlag.

    Google Scholar 

  4. A. GROTHENDIECK, Résumé de la théorie métrique des produits tensoriels topologies (Bul. Soc. Mat. Sao Paulo 8, 1–79 (1956).

    Google Scholar 

  5. B. HANOUZET, J.-L. Joly, Formes multilinéaires sur des sous-espaces de distributions (rapport C.N.R.S.).

    Google Scholar 

  6. G. KOTHE, Topological vector spaces II.

    Google Scholar 

  7. L. TARTAR, Compensated compactness and application to p.d.e. edited par R.J. Knops, Research notes in Mathematics n°39, Pitman Londres (1979).

    Google Scholar 

  8. F. MURAT, Compacité par compensation (An. Sc. Sup Pisa 5, n°3, 1978) et autres articles.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Atteia, M. (1992). Tensorial Convex Functionals and Applications. In: Oettli, W., Pallaschke, D. (eds) Advances in Optimization. Lecture Notes in Economics and Mathematical Systems, vol 382. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51682-5_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-51682-5_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55446-2

  • Online ISBN: 978-3-642-51682-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics