Skip to main content

On the spectral mixing theorem for some classes of banach spaces and for the numerical contractions on hilbert spaces

  • 344 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 656)

Keywords

  • Hilbert Space
  • Banach Space
  • Fixed Point Theorem
  • Nonexpansive Mapping
  • Normal Structure

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.R. Blum and D.L. Hanson, On mean ergodic theorem for subsequences. Bull.A.M.S.66(1960) 308–311.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. G. Bennet and N.J. Kalton, Consistency theorems for almost convergence. Trans.A.M.S.198(1974) 23–43.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. K.K. Jones, A Mean Ergodic Theorem for Weakly Mixing Operators. Adv.in Mat. 7(1971) 211–216.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. L.K. Jones, An elementary lemma on sequences of integers and its applications to functional analysis. Math.Z.126(1972) 299–307.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. L.K. Jones and V. Kuftinec, A note on the Blum-Hanson theorem Proc.A.M.S.30(1971) 202–203.

    MathSciNet  MATH  Google Scholar 

  6. W.A. Kirk, A fixed point theorem for mappings which do not increase distances. Amer.Math.Month.72(1965) 1004–1006.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. L.P. Belluce,W.A. Kirk and E.F. Steiner, Normal structure in Banach spaces. Pacif.J.Math.26(1968) 433–440.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. M.A. Krasnoselskii, Positive solutions of Operator Equations. P.Noordhoff, Groningen 1964.

    Google Scholar 

  9. C.A. Berger and J.G. Stampfli, Mapping Theorems for the Numerical Range. Amer.J.Math.89(1967) 1047–1055.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. V.I.Istratescu, Introduction to Fixed Point Theory. Ed.Acad. R.S.R. Bucuresti, 1973. (in Rumanian).

    Google Scholar 

  11. H. Weyl, Almost periodic invariant vector sets in a metric vector space. Amer.J.Math. 71(1949) 178–205.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. A. Lebow and M. Schechter, Semigroups of Operators and Measures of Noncompactness. J.of Funct.Anal. 7(1971) 1–26.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. G. Darbo, Punti uniti in transformazioni a codominio non compatto Rend.Mat. Padova 24(1955) 84–92.

    MathSciNet  MATH  Google Scholar 

  14. T.Kato, Perturbation Theory for Linear Operators. Springer, 1966.

    Google Scholar 

  15. F. Browder, On the spectral theory of eliptic differential operators. Math.Ann.142(1961) 22–130.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Istratescu, V.I. (1978). On the spectral mixing theorem for some classes of banach spaces and for the numerical contractions on hilbert spaces. In: Weron, A. (eds) Probability Theory on Vector Spaces. Lecture Notes in Mathematics, vol 656. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068812

Download citation

  • DOI: https://doi.org/10.1007/BFb0068812

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08846-2

  • Online ISBN: 978-3-540-35814-5

  • eBook Packages: Springer Book Archive