Spectraloid operator polynomials, the
approximate numerical range and an
Eneström–Kakeya theorem in Hilbert space
Studia Mathematica, Tome 198 (2010) no. 3, pp. 279-300
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
study class operator polynomials hilbert space which spectraloid sense spectral radius numerical radius coincide focus spectrum boundary numerical range application enestr kakeya hurwitz theorem zeros real polynomials generalized hilbert space
Affiliations des auteurs :
Jan Swoboda 1 ; Harald K. Wimmer 2
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author = {Jan Swoboda and Harald K. Wimmer},
title = {Spectraloid operator polynomials, the
approximate numerical range and an
{Enestr\"om{\textendash}Kakeya} theorem in {Hilbert} space},
journal = {Studia Mathematica},
pages = {279--300},
publisher = {mathdoc},
volume = {198},
number = {3},
year = {2010},
doi = {10.4064/sm198-3-7},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm198-3-7/}
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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 198 (2010) no. 3, pp. 279-300. doi: 10.4064/sm198-3-7
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