- Title
- Convex spectral functions of compact operators
- Creator
- Borwein, J. M.; Read, J.; Lewis, A. S.
- Relation
- Journal of Nonlinear and Convex Analysis Vol. 1, Issue 1, p. 17-35
- Relation
- http://www.ybook.co.jp/online2/jncav1-1.html
- Publisher
- Yokohama Publishers
- Resource Type
- journal article
- Date
- 2000
- Description
- 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 Calderón 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.
- Subject
- convexity; eigenvalue; compact operator; unitarily invariant; subdifferential; Fenchel conjugate; spectral function
- Identifier
- http://hdl.handle.net/1959.13/940638
- Identifier
- uon:13058
- Identifier
- ISSN:1345-4773
- Language
- eng
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