Extremal problems for operators in Banach spaces arising in the study of linear operator pencils

DOI10.1007/s00020-002-1249-xzbMath1081.47002OpenAlexW4254299075MaRDI QIDQ1772901

Victor A. Khatskevich, Viktor S. Shul'man, Mikhail I. Ostrovskii

Publication date: 21 April 2005

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-002-1249-x

zbMATH Keywords

Banach spacebounded linear operatorstrictly singular operatornorm-attaining operator

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spectrum, resolvent (47A10) Isometric theory of Banach spaces (46B04)

Related Items (7)

ON THE EXISTENCE OF NON-NORM-ATTAINING OPERATORS ⋮ On quasi norm attaining operators between Banach spaces ⋮ Sup and Max Properties for the Numerical Radius of Operators in Banach Spaces ⋮ Norm-attaining integral operators on analytic function spaces ⋮ Rank-one perturbations and norm-attaining operators ⋮ Sums of characteristic values of compact polynomial operator pencils ⋮ Multiplicative perturbation by contractions and uniform stability

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