Roots of C*-algebra elements under numerical range condition

DOI10.1007/s12215-009-0007-1zbMath1173.47004OpenAlexW2090215250MaRDI QIDQ1032590

Abdolaziz Abdollahi, Mohammad Taghi Heydari

Publication date: 26 October 2009

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-009-0007-1

zbMATH Keywords

numerical rangeC*-algebrarootfaithful representation

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) General theory of (C^*)-algebras (46L05)

Cites Work

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• On numerical ranges and roots.
• Square roots with positive definite Hermitian part
• Some mapping theorems for the numerical range
• On the Closure of the Numerical Range of an Operator
• Uniqueness of matrix square roots and an application
• Uniqueness of matrix square roots under a numerical range condition

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