A SPECTRAL CHARACTERIZATION OF OPERATORS

DOI10.1017/S1446788716000239zbMath1381.47013arXiv1501.05869MaRDI QIDQ5273448

Vern I. Paulsen, Satish K. Pandey

Publication date: 6 July 2017

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05869

zbMATH Keywords

\(\mathcal{A}\mathcal{N}\) operator\(\mathcal{N}\) operator

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Operator spaces (= matricially normed spaces) (47L25) Positive linear operators and order-bounded operators (47B65) Convex sets and cones of operators (47L07) Linear spaces of operators (47L05)

Related Items (20)

LINEAR MAPS PRESERVING 𝓐𝓝-OPERATORS ⋮ Universally symmetric norming operators are compact ⋮ 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 ⋮ 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 ⋮ A NOTE ON POSITIVE OPERATORS ⋮ On a subclass of norm attaining operators ⋮ On operators which attain their norm on every reducing subspace ⋮ Spectral properties of absolutely minimum attaining operators ⋮ Norms of basic operators in vector valued model spaces and de Branges spaces

Cites Work

• Operators that achieve the norm
• STRUCTURE THEOREM FOR -OPERATORS
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