Skip to main content

Advertisement

SpringerLink
Log in
Menu
Find a journal Publish with us
Search
Cart
  1. Home
  2. Probability Theory and Related Fields
  3. Article
Free probability on algebras with infinitely many states
Download PDF
Download PDF
  • Published: November 1999

Free probability on algebras with infinitely many states

  • Wojciech Młtkowski1 

Probability Theory and Related Fields volume 115, pages 579–596 (1999)Cite this article

  • 60 Accesses

  • 4 Citations

  • Metrics details

Abstract.

We study noncommutative probability spaces endowed with infinite sequences of states. Following ideas of Cabanal-Duvillard we extend the notion of conditional freeness. Free product of such spaces is justified by constructing an appropriate ⋆-representation. Finally, we provide limit theorems and describe the sequences of orthogonal polynomials related to the limit measures.

Download to read the full article text

Working on a manuscript?

Avoid the common mistakes

Author information

Authors and Affiliations

  1. Mathematical Institute, University of Wroclstrok;, Pl. Grunwaldzki 2/4, 50-384 Wroclstrok;, Poland. e-mail: mlotkow@math.uni.wroc.pl, , , , , , PL

    Wojciech Młtkowski

Authors
  1. Wojciech Młtkowski
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 4 November 1998 / Revised version: 22 April 1999

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Młtkowski, W. Free probability on algebras with infinitely many states. Probab Theory Relat Fields 115, 579–596 (1999). https://doi.org/10.1007/s004400050250

Download citation

  • Issue Date: November 1999

  • DOI: https://doi.org/10.1007/s004400050250

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

  • Mathematics Subject Classification (1991): 60B99, 46L50, 05A18
Download PDF

Working on a manuscript?

Avoid the common mistakes

Advertisement

Search

Navigation

  • Find a journal
  • Publish with us

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support

167.114.118.210

Not affiliated

Springer Nature

© 2023 Springer Nature