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Licensed Unlicensed Requires Authentication Published by De Gruyter July 30, 2010

Remarks on the spectrum of a compact convex set of compact operators

  • Ky Anh Pham EMAIL logo and Xuan Thao Nguyen


In this note we derive a necessary and sufficient condition for a compact convex set of linear compact operators acting in a complex Hilbert space to have the spectrum outside a prescribed closed convex subset of the complex plane.

Received: 2008-04-21
Revised: 2009-08-05
Published Online: 2010-07-30
Published in Print: 2010-December

© de Gruyter 2010

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