Skip to main content

On the almost convergence

  • Chapter
  • First Online:
Functional Analysis II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1242))

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 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
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. H.T. Bell, Order summability and almost convergence, Proc. Amer. Math. Soc. 38 (1973), 548–552.

    Article  MathSciNet  MATH  Google Scholar 

  2. A.T. Bharoucha-Reid, Ergodic projections for semi-groups of periodic operators, Studia Math. 17 (1958), 189–197.

    MathSciNet  MATH  Google Scholar 

  3. D. Butković, On the summability of convolution sequences of measures, Glasnik Mat. 13 (1978), 69–74; Correction, ibid. 18 (1983), 391–392.

    MathSciNet  MATH  Google Scholar 

  4. K.L. Chung, Markov chains with stationary transition probabilities, 2nd ed., Springer-Verlag, New York, 1967.

    MATH  Google Scholar 

  5. L.W. Cohen, On the mean ergodic theorem, Ann. of Math. 41 (1940), 505–509.

    Article  MathSciNet  MATH  Google Scholar 

  6. R.C. Cooke, Infinite matrices and sequence sapces, Macmillan, London, 1950.

    Google Scholar 

  7. F.R. Gantmacher, The theory of matrices, vol.II, Chelsea, New York, 1959.

    MATH  Google Scholar 

  8. J.D. Hill, Summability of sequences of 0's and 1's, Ann. of Math. 46 (1945), 556–562.

    Article  MathSciNet  MATH  Google Scholar 

  9. J.D. Hill, Remarks on the Borel property, Pacific J.Math. 4 (1954), 227–242.

    Article  MathSciNet  MATH  Google Scholar 

  10. J.G. Kemeny and J.L. Snell, Markov chains and summability methods, Z.Wahrscheinlichkeitstheorie verw. Geb. 18 (1971), 17–33.

    Article  MathSciNet  MATH  Google Scholar 

  11. J.G. Kemeny, J.L. Snell and A.W. Knapp, Denumerable Markov chains, Van Nostrand, Princeton, 1966.

    MATH  Google Scholar 

  12. A. Kolmogoroff, Anfangsgrunde der Theorie der Markoffschen Ketten mit unendlich vielen möglichen Zustanden, Mat.Sbornik (Recueil Math.) 1 (1936), 607–610.

    MATH  Google Scholar 

  13. G.G. Lorentz, A contribution to the theory of divergent sequences, Acta Math. 80 (1948), 167–190.

    Article  MathSciNet  MATH  Google Scholar 

  14. G.G. Lorentz, Direct theorems on methods of summability II, Canad. J.Math. 3 (1951), 236–256.

    Article  MathSciNet  MATH  Google Scholar 

  15. I.J. Maddox, Elements of functional analysis, Cambridge Univ. Press, Cambridge, 1970.

    MATH  Google Scholar 

  16. G.M. Petersen, Almost convergence and uniformly distributed sequences, Quart.J.Math.Oxford 7 (1956), 188–191.

    Article  MathSciNet  MATH  Google Scholar 

  17. B.E.Rhoades, Some applications of strong regularity to Markov chains and fixed point theorems, Approximation Theory III, Acad.Press 1980, 736–740.

    Google Scholar 

  18. K. Yosida and S. Kakutani, Markoff process with an enumerable infinite number of possible states, Japan J.Math. 16 (1940), 47–55.

    MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Davor Butković Svetozar Kurepa Hrvoje Kraljević

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag

About this chapter

Cite this chapter

Butković, D., Kraljević, H., Sarapa, N. (1987). On the almost convergence. In: Butković, D., Kurepa, S., Kraljević, H. (eds) Functional Analysis II. Lecture Notes in Mathematics, vol 1242. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072446

Download citation

  • DOI: https://doi.org/10.1007/BFb0072446

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17833-0

  • Online ISBN: 978-3-540-47876-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics