Schur Products of Operators and the Essential Numerical Range

DOI10.2307/1998408zbMath0481.47003OpenAlexW4246452458MaRDI QIDQ3937874

Quentin F. Stout

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998408

zbMATH Keywords

commutative Banach algebraHadamard productself-adjoint operatoressential numerical rangematrix representationSchur productSchur multiplicationHadamard multiplicationSchatten p classSchatten p norm

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) (Semi-) Fredholm operators; index theories (47A53) Groups and semigroups of linear operators, their generalizations and applications (47D99) Commutative Banach algebras and commutative topological algebras (46J99)

Related Items (9)

On a Schur-type product for matrices with operator entries ⋮ On the Diagonal of an Operator ⋮ On Zero-Diagonal Operators and Traces ⋮ On the essential numerical spectrum of operators on Banach spaces ⋮ Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov ⋮ Matrix representations of arbitrary bounded operators on Hilbert spaces ⋮ On the interplay between operators, bases, and matrices ⋮ Matrix multipliers for a block Schur product ⋮ Diagonals of operators and Blaschke’s enigma

Cites Work

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• Schur multipliers
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• Commutators and compressions
• Hadamard products and multivariate statistical analysis
• On a theorem of Weyl-von Neumann
• s-Numbers of operators in Banach spaces
• A theorem on operator algebras.
• Unconditional convergence and almost everywhere convergence
• The main triangle projection in matrix spaces and its applications
• Matrices for Operators and Generators of B (ℋ)

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