Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Remarks on the numerical range with respect to a family of projections

Remarks on the numerical range with respect to a family of projections In this note we report on the recently introduced concept of the numerical range of a bounded linear operator on a Hilbert space with respect to a family of projections. The importance of this new concept lies in the fact that it unifies and generalizes well‐established versions of the numerical range such as the classical numerical range introduced by Toeplitz and Hausdorff, the quadratic numerical range as well as the block numerical range. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim) http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Proceedings in Applied Mathematics & Mechanics Wiley

Remarks on the numerical range with respect to a family of projections

Loading next page...
 
/lp/wiley/remarks-on-the-numerical-range-with-respect-to-a-family-of-projections-VrqUiWkbZ2

References (22)

Publisher
Wiley
Copyright
Copyright © 2017 Wiley Subscription Services, Inc., A Wiley Company
ISSN
1617-7061
eISSN
1617-7061
DOI
10.1002/pamm.201710395
Publisher site
See Article on Publisher Site

Abstract

In this note we report on the recently introduced concept of the numerical range of a bounded linear operator on a Hilbert space with respect to a family of projections. The importance of this new concept lies in the fact that it unifies and generalizes well‐established versions of the numerical range such as the classical numerical range introduced by Toeplitz and Hausdorff, the quadratic numerical range as well as the block numerical range. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Journal

Proceedings in Applied Mathematics & MechanicsWiley

Published: Dec 1, 2017

There are no references for this article.