Skip to main content

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

  • Conference paper
  • First Online:
Probability Theory on Vector Spaces

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

  • 358 Accesses

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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.

References

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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.

    Article  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.

    Article  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.

    Article  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.

    Article  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.

    Article  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.

    Article  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.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

A. Weron

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

Publish with us

Policies and ethics