Maximal Ideals in Some Spaces of Bounded Linear Operators

DOI10.1017/S0013091517000219OpenAlexW2790949204MaRDI QIDQ4608148

Denny H. Leung

Publication date: 16 March 2018

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

Full work available at URL: https://doi.org/10.1017/s0013091517000219

zbMATH Keywords

maximal idealbounded linear operators

Mathematics Subject Classification ID

Algebras of operators on Banach spaces and other topological linear spaces (47L10) Ideals and subalgebras (46H10)

Related Items (2)

Some results on the lattice of closed ideals of $\mathcal L^r(X)$ for $X$ of the form $(\bigoplus_i \ell _p^i)_q$ ⋮ THE MAXIMAL IDEAL IN THE SPACE OF OPERATORS ON

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness of the maximal ideal of the Banach algebra of bounded operators on \(C([0, \omega_1)\)]
• An arbitrarily distortable Banach space
• The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces
• Commutators on \((\sum\ell_q)_{\ell_1}\)
• The Giesy-James theorem for general index p, with an application to operator ideals on the p^th James space
• Dichotomy theorems for random matrices and closed ideals of operators on (⊕n=1∞ℓ1n)c0
• Commutators on (Σl_q)_p
• Commutators on ℓ_∞
• The Banach space S is complementably minimal and subsequentially prime
• MAXIMAL IDEALS IN THE ALGEBRA OF OPERATORS ON CERTAIN BANACH SPACES
• Commutators on 𝐿_{𝑝}, 1≤𝑝<∞
• Ideals of operators on $(\oplus \ell ^\infty (n))_{\ell ^1}$
• Uniqueness of the maximal ideal of operators on the ℓ_p-sum of ℓ_∞ⁿ (n ∈ ) for 1 < p < ∞
• Norm closed ideals in the algebra of bounded linear operators on Orlicz sequence spaces

This page was built for publication: Maximal Ideals in Some Spaces of Bounded Linear Operators