Skip to main content
SpringerLink
Log in

Radon-Nikodým theorem for biweights and regular biweights on partial *-algebras

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

The first purpose of this paper is to investigate Radon-Nikodým theorem for biweights on partial *-algebra. Secondly, we study regularity of biweights on partial *-algebraA and show that a biweightϕ onA is decomposed intoϕ=ϕ r+ϕ s, whereϕ r is a regular biweight onA andϕ s is a singular biweight onA.

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. Antoine J. P., Inoue A., Trapani C.,Partial *-algebras of closable operators, I. The basic theory and the abelian case. II. States and representations of partial *-algebras, Publ. RIMS, Kyoto Univ.,26 (1990), 359–395;27 (1991), 399–430.

    MATH  MathSciNet  Google Scholar 

  2. Antoine J. P., Inoue A., Trapani C.,Partial *-algebras of closable operators. A review, Reviews Math. Phys.8 (1996), 1–42.

    Article  MATH  MathSciNet  Google Scholar 

  3. Antoine J. P., Inoue A., Trapani C.,Biweights on partial *-algebras, J. Math. Anal. Appl.,242 (2000), 164–190.

    Article  MATH  MathSciNet  Google Scholar 

  4. A. Inoue, A Radon-Nikodym theorem for positive linear functionals on *-algebras,J. Operator Theory 10 (1983), 77–86.

    MATH  MathSciNet  Google Scholar 

  5. Inoue A., Ogi H.,Regular weights on algebras of unbounded operators, J. Math. Soc. Japan,50 (1998), 227–252.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Fukuoka University, 814-0180, Fukuoka, Japan

    A. Inoue & M. Takakura

Authors
  1. A. Inoue
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Takakura
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Inoue, A., Takakura, M. Radon-Nikodým theorem for biweights and regular biweights on partial *-algebras. Rend. Circ. Mat. Palermo 52, 489–504 (2003). https://doi.org/10.1007/BF02872767

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02872767

Keywords

Search

Navigation