DocServer

Convex spectral functions of compact operators, Part 1

Borwein, Jonathan M. and Lewis, Adrian and Read, John and Zhu, Qiji J. (2000) Convex spectral functions of compact operators, Part 1. J. Nonlinear and Convex Analysis, 1 . pp. 17-36.

[img]
Preview
Postscript
Download (291Kb) | Preview
    [img]
    Preview
    PDF
    Download (284Kb) | Preview

      Abstract

      We consider functions on the space of compact self-adjoint Hilbert space operators. Specifically, we study those extended-real functions which depend only on the operators' spectral sequences. Examples include the norms of the Schatten $p$-spaces, the Calder\'on norms, the $k$'th largest eigenvalue, and some infinite-dimensional self-concordant barriers. We show how various convex and nonsmooth-analytic properties of such functions follow from the corresponding properties of the restrictions to the space of diagonal operators, and we derive subdifferential and conjugacy formulas.

      Item Type: Article
      Additional Information: pubdom FALSE
      Subjects: UNSPECIFIED
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 28 Nov 2003
      Last Modified: 28 Sep 2014 14:10
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/237

      Actions (login required)

      View Item