Ideals of Regular Operators on l 2

DOI10.2307/2045116zbMath0524.47027OpenAlexW4254105443MaRDI QIDQ3036137

Wolfgang Arendt, Ahmed Ramzi Sourour

Publication date: 1983

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

Full work available at URL: https://doi.org/10.2307/2045116

zbMATH Keywords

compact operatorsalgebra-idealBanach algebra and Banach lattice of all regular operatorslattice-idealnon-trivial closed ideal

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Abstract operator algebras on Hilbert spaces (47L30) Linear operators on ordered spaces (47B60) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (7)

Ideal structure and factorization properties of the regular kernel operators ⋮ Banach lattice algebras: some questions, but very few answers ⋮ The duality property of positive \(r\)-compact operators ⋮ The order properties of \(r\)-compact operators on Banach lattices ⋮ A note on the order Lozanovsky spectrum for positive operators ⋮ Incompleteness of the linear span of the positive compact operators ⋮ Some results on the lattice of closed ideals of $\mathcal L^r(X)$ for $X$ of the form $(\bigoplus_i \ell _p^i)_q$

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