Name: A generalization of the 0-numerical range
Creator: Rajić, Rajna
Keywords: q-numerical range of an operator, q-numerical range, matricial convex hull, Numerical range, numerical radius, Norms of matrices, numerical range, applications of functional analysis to matrix theory, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences

A generalization of the 0-numerical range.

descriptionPublicationkeyboard_double_arrow_right Article 15 Jun 2004Publisher:University of Zagreb, Faculty of Science, Department of MathematicsJournal:Glasnik Matematicki, volume 39, pages 139-144 (issn: 0017-095X,

Authors: Rajić, Rajna;

doi: 10.3336/gm.39.1.11

A generalization of the 0-numerical range

- Summary
- Subjects
- Metrics

Abstract

Let H be a Hilbert space. Given a bounded linear operator A on H, we describe the set R^n(A)={;V*AW:V*V=W*W=I_n, V*W=0};. It is shown that the closed matricial convex hull of R^n(A) is a closed ball of radius min||A-\lambda I|| centered at origin.

Related Organizations

University of Zagreb
Croatia

Keywords

q-numerical range of an operator, q-numerical range, matricial convex hull, Numerical range, numerical radius, Norms of matrices, numerical range, applications of functional analysis to matrix theory

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

bronze

Fields of Science (3) View all

Fields of Science