Skip to main content
SpringerLink
Log in

Composite convolution operators on weighted sequence spaces

  • Published:
Lobachevskii Journal of Mathematics Aims and scope Submit manuscript

Abstract

This paper deals with the composite convolution operators on the weighted sequence spaces. Bounded, Hermitian composite convolution operators are characterized. Compact and Hilbert-Schmidt composite convolution operators are obtained. Adjoint of the composite convolution operator is computed. Keywords and phrases: Convolution product, Hermitian operator, Compact operator, Hilbert-Schmidt operator.

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

Similar content being viewed by others

References

  1. J.W. Carlson, Trans. Amer. Math. Soc. 317, 631–654 (1990).

    Article  MATH  MathSciNet  Google Scholar 

  2. A. Gupta and B. S. Komal, Int. Journal ofMath. Anal. 3(26), 1277–1282 (2009).

    MATH  MathSciNet  Google Scholar 

  3. A. Gupta and B. S. Komal, Int. Journal ofMath. Anal. 3(26), 1283–1293 (2009).

    MATH  MathSciNet  Google Scholar 

  4. P. R. Halmos, A Hilbert space problem book (Springer Verlag, New York, 1974).

    Book  MATH  Google Scholar 

  5. B. S. Komal and D. K. Gupta, Acta Sci. Math. (Szeged) 47, 445–448 (1984).

    MATH  MathSciNet  Google Scholar 

  6. R. K. Singh, D. K. Gupta, and B. S. Komal, Internat. J. Math. and Math. Soc. 2, 29–34 (1979).

    Article  MATH  MathSciNet  Google Scholar 

  7. R. K. Singh and B. S. Komal, Proc. Amer. Math. Soc. 70, 21–25 (1978).

    MATH  MathSciNet  Google Scholar 

  8. R. K. Singh and B. S. Komal, Bull. Aust. Math. Soc. 18, 432–440 (1978).

    MathSciNet  Google Scholar 

  9. V. D. Stepanov, SovietMath. Dokal 19(6), (1978).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Jammu, Jammu, India

    Virender Pal Singh

  2. Department of Engineering Mathematics, MIET, Kot Bhalwal, Jammu, India

    B. S. Komal

Authors
  1. Virender Pal Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. S. Komal
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Virender Pal Singh.

Additional information

Submitted by D. H. Mushtari

Rights and permissions

Reprints and permissions

About this article

Cite this article

Singh, V.P., Komal, B.S. Composite convolution operators on weighted sequence spaces. Lobachevskii J Math 35, 1–6 (2014). https://doi.org/10.1134/S1995080214010089

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1995080214010089

Keywords

Search

Navigation