On the Diagonal of an Operator

DOI10.2307/2000000zbMath0541.47005OpenAlexW4240235953MaRDI QIDQ3327190

Peng Fan

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2000000

zbMATH Keywords

self-commutatorstrace class operatorszero-diagonal operatorsessential numerical ranges

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Numerical range, numerical radius (47A12) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (12)

On Zero-Diagonal Operators and Traces ⋮ Diagonals of nilpotent operators ⋮ Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov ⋮ Matrix representations of arbitrary bounded operators on Hilbert spaces ⋮ The diagonal entries of a Hilbert space operator ⋮ On the interplay between operators, bases, and matrices ⋮ In search of convexity: diagonals and numerical ranges ⋮ Corrections to: The diagonal entries of a Hilbert space operator. ⋮ An Intrinsic Characterization for Zero-Diagonal Operators ⋮ A note on the structure of matrix ^*-subalgebras with scalar diagonals ⋮ Diagonals of operators and Blaschke’s enigma ⋮ Band-diagonal operators

Cites Work

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• Structure of commutators of operators
• Growth conitions and the numerical range in a Banach algebra
• Which Operators are the Self-Commutators of Compact Operators?
• Schur Products of Operators and the Essential Numerical Range
• Real parts of quasi-nilpotent operators
• On Similarity and the Diagonal of a Matrix

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