Spectraloid operator polynomials, the approximate numerical range and an Eneström-Kakeya theorem in Hilbert space

Jan Swoboda, and Harald K. Wimmer. "Spectraloid operator polynomials, the approximate numerical range and an Eneström-Kakeya theorem in Hilbert space." Studia Mathematica 198.3 (2010): 279-300. <http://eudml.org/doc/285890>.

@article{JanSwoboda2010,
abstract = {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.},
author = {Jan Swoboda, Harald K. Wimmer},
journal = {Studia Mathematica},
language = {eng},
number = {3},
pages = {279-300},
title = {Spectraloid operator polynomials, the approximate numerical range and an Eneström-Kakeya theorem in Hilbert space},
url = {http://eudml.org/doc/285890},
volume = {198},
year = {2010},
}

TY - JOUR
AU - Jan Swoboda
AU - Harald K. Wimmer
TI - Spectraloid operator polynomials, the approximate numerical range and an Eneström-Kakeya theorem in Hilbert space
JO - Studia Mathematica
PY - 2010
VL - 198
IS - 3
SP - 279
EP - 300
AB - 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.
LA - eng
UR - http://eudml.org/doc/285890
ER -