On the Numerical Range of Compact Operators on Hilbert Spaces

DOI10.1112/jlms/s2-5.4.704zbMath0244.47012OpenAlexW2045034755MaRDI QIDQ5655943

G. de Barra, Brailey Sims, John R. Giles

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-5.4.704

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spectrum, resolvent (47A10)

Related Items (16)

Convexity of the orbit-closed C-numerical range and majorization ⋮ Joint k-numerical ranges of operators ⋮ Some properties of composition-differentiation operators ⋮ Numerical range of weighted composition operators on the Fock space ⋮ A note on numerical radius attaining mappings ⋮ Polyak's theorem on Hilbert spaces ⋮ Unnamed Item ⋮ The existence of a maximizing vector for the numerical range of a compact operator ⋮ Numerical range of composition operators on a Hilbert space of Dirichlet series. ⋮ Spatial numerical range of operators on weighted Hardy spaces ⋮ Numerical range and compactness of some composition operators on a Hilbert space of Dirichlet series ⋮ Numerical ranges of composition operators ⋮ Curves of geodesic centers and Poncelet ellipses ⋮ The boundary of the numerical range ⋮ The Boundary of the Numerical Range ⋮ When is zero in the numerical range of a composition operator?

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