Skip to main content
SpringerLink
Log in

Curvatures and curves in Hilbert space

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Akhiezer, N.I.: The classical moment problem. Transl. by N. Kemmer. Edinburgh-London: Oliver and Boyd 1965

    Google Scholar 

  2. Gerretsen, J.: Lectures on tensor calculus and differential geometry, Groningen. Noordhoff 1962

    Google Scholar 

  3. Greenwood, J.A.: On the curvatures of certain curves in fuction space. Ann of Math.36, 157–166 (1935)

    Google Scholar 

  4. Ingold, L.: Functional differential geometry. Trans. Amer. Math. Soc.13, 319–325 (1912)

    Google Scholar 

  5. Kowalevski, G.: Les formules de Frenet dans l'espace fonctionnel. C.R. Acad. Sci. Paris151, 1338–1340 (1910)

    Google Scholar 

  6. Laugwitz, D.: Differential geometrie ohne Dimensionsaxiom II. Math. Z.61, 134–149 (1954)

    Google Scholar 

  7. Powers, W.E., Ragozin, D.L., Berger, K.B., Moolgavkar, S.H.: Characterizing potentials in electrocardiology: Description as a curve in function space. Technical report 26. Department of Biostatistics, University of Washington, Seattle, 1978

    Google Scholar 

  8. Ravaska, T.: Theory of curves in a complex Hilbert space. Ann. Acad. Sci. Fennicae. Series A. I. Math. Dissertationes14, 1977

  9. Stone, M.H.: Linear transformations in Hilbert space and their applications to analysis. American Mathematical Society Colloquium publication, Vol. XV. Providence, Rhode Island: American Mathematical Society 1932

    Google Scholar 

  10. Yosida, K.: Functional analysis. Die Grundlehren der mathematischen Wissenschaften 123. Berlin-Heidelberg-New York: Springer 1965

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Washington, 98195, Seattle, Washington, U.S.A.

    David L. Ragozin

Authors
  1. David L. Ragozin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research partially supported by National Science Foundation grants MCS77-01702 and ENG76-18743.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ragozin, D.L. Curvatures and curves in Hilbert space. Math Z 173, 51–67 (1980). https://doi.org/10.1007/BF01215524

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01215524

Keywords

Search

Navigation