Operators that achieve the norm

DOI10.1007/s00020-011-1923-yzbMath1257.47022arXiv1007.1477OpenAlexW2046406984MaRDI QIDQ421111

Wladimir Neves, Xavier Carvajal

Publication date: 23 May 2012

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

Full work available at URL: https://arxiv.org/abs/1007.1477

zbMATH Keywords

Hilbert spacespectral representationbounded operator

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Numerical range, numerical radius (47A12) Invariant subspaces of linear operators (47A15) Linear operator approximation theory (47A58) Positive linear operators and order-bounded operators (47B65)

Related Items (27)

LINEAR MAPS PRESERVING 𝓐𝓝-OPERATORS ⋮ Universally symmetric norming operators are compact ⋮ Operators that attain reduced minimum ⋮ Absolutely norm attaining paranormal operators ⋮ Absolutely norm attaining Toeplitz and absolutely minimum attaining Hankel operators ⋮ A characterization of absolutely minimum attaining operators ⋮ Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators ⋮ Stability of \(\mathcal{AN}\)-property for the induced Aluthge transformations ⋮ On absolutely norm attaining operators ⋮ On the denseness of minimum attaining operator-valued functions ⋮ Representation and normality of $$*$$-paranormal absolutely norm attaining operators ⋮ Spectral representation of absolutely minimum attaining unbounded normal operators ⋮ On the closure of absolutely norm attaining operators ⋮ The norm attainment problem for functions of projections ⋮ Idempotent, model, and Toeplitz operators attaining their norms ⋮ A representation of hyponormal absolutely norm attaining operators ⋮ Absolutely minimum attaining closed operators ⋮ Operators that attain their minima ⋮ A NOTE ON POSITIVE OPERATORS ⋮ On a subclass of norm attaining operators ⋮ STRUCTURE THEOREM FOR -OPERATORS ⋮ On operators which attain their norm on every reducing subspace ⋮ Spectral properties of absolutely minimum attaining operators ⋮ On two extremum problems related to the norm of a bounded linear operator ⋮ On the structure of absolutely minimum attaining operators ⋮ Norms of basic operators in vector valued model spaces and de Branges spaces ⋮ A SPECTRAL CHARACTERIZATION OF OPERATORS

Cites Work

• Functional analysis and infinite-dimensional geometry
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