Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • PROGRESS AND PROBLEMS IN THE THEORY OF REGENERATIVE PHENOMENA

  • J. F. C. KINGMAN
  • Journal:
    Bulletin of the London Mathematical Society / Volume 38 / Issue 6 / December 2006
    Published online by Cambridge University Press:
    19 December 2006, pp. 881-896
    Print publication:
    December 2006

  • Regenerative phenomena were introduced some forty years ago to address problems in the theory of continuous-time Markov processes. The early work in the theory left a number of difficult unsolved problems, in the classification of $p$-functions, oscillation and inequalities, the multiplicative theory, and the theory of unbounded semi-$p$-functions. Recent years have shown progress on all of these fronts, and this paper surveys these results, while drawing attention to significant problems that remain open.

  • JENSEN'S OPERATOR INEQUALITY

  • FRANK HANSEN, GERT K. PEDERSEN
  • Journal:
    Bulletin of the London Mathematical Society / Volume 35 / Issue 4 / July 2003
    Published online by Cambridge University Press:
    09 June 2003, pp. 553-564
    Print publication:
    July 2003

  • Jensen's operator inequality and Jensen's trace inequality for real functions defined on an interval are established in what might be called their definitive versions. This is accomplished by the introduction of genuine non-commutative convex combinations of operators, as opposed to the contractions considered in earlier versions of the theory by the authors, and by Brown and Kosaki. As a consequence, one no longer needs to impose conditions on the interval of definition. It is shown how this relates to the pinching inequality of Davis, and how Jensen's trace inequality generalizes to C*-algebras.