Spectraloid operator polynomials, the approximate numerical range and an Eneström-Kakeya theorem in Hilbert space
Jan Swoboda ; Harald K. Wimmer
Studia Mathematica, Tome 196 (2010), p. 279-300 / Harvested from The Polish Digital Mathematics Library
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We study a class of operator polynomials in Hilbert space which are spectraloid in the sense that spectral radius and numerical radius coincide. The focus is on the spectrum in the boundary of the numerical range. As an application, the Eneström-Kakeya-Hurwitz theorem on zeros of real polynomials is generalized to Hilbert space.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:285890 
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Jan Swoboda; Harald K. Wimmer. Spectraloid operator polynomials, the approximate numerical range and an Eneström-Kakeya theorem in Hilbert space. Studia Mathematica, Tome 196 (2010) pp. 279-300. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm198-3-7/