A counterexample on numerical radius attaining operators

DOI10.1007/BF02764803zbMath0784.47005OpenAlexW1981251430WikidataQ124854111 ScholiaQ124854111MaRDI QIDQ1802753

R. Payá-Albert

Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02764803

zbMATH Keywords

numerical rangeBanach spacebounded linear operatornumerical radius attaining operators

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12)

Related Items (16)

Norm or numerical radius attaining polynomials on \(C(K\)) ⋮ The Bishop–Phelps–Bollobás Theorem: An Overview ⋮ James type results for polynomials and symmetric multilinear forms ⋮ Numerical radius attaining compact linear operators ⋮ A note on numerical radius attaining mappings ⋮ On the Crawford number attaining operators ⋮ The Bishop-Phelps-Bollobás property and absolute sums ⋮ The existence of a maximizing vector for the numerical range of a compact operator ⋮ On the Bishop-Phelps-Bollobás property for numerical radius ⋮ On the Bishop-Phelps-Bollobás property for numerical radius in \(C(K)\) spaces ⋮ Convexity and smoothness of Banach spaces with numerical index one ⋮ On the Bishop–Phelps–Bollobás theorem for operators and numerical radius ⋮ Every real Banach space can be renormed to satisfy the denseness of numerical radius attaining operators ⋮ An eigenvalue problem for the numerical range of a bounded linear operator ⋮ A new sufficient condition for the denseness of norm attaining operators ⋮ Convex numerical radius

Cites Work

• Semisummands and semiideals in Banach spaces
• On operators which attain their norm
• On the field of values subordinate to a norm
• Density of numerical radius attaining operators on some reflexive spaces
• A proof that every Banach space is subreflexive
• Semi-Inner-Product Spaces
• Numerical Radius Attaining Operators and the Radon-Nikodym Property
• Denseness of Operators Whose Second Adjoints Attain Their Numerical Radii
• Numerical Radius-Attaining Operators on C(K)
• Über konvexe Mengen in linearen normierten Räumen
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