The number of closed ideals in the algebra of bounded operators on Lebesgue spaces
From MaRDI portal
Publication:6119194
DOI10.4171/icm2022/7OpenAlexW4389775043MaRDI QIDQ6119194
Publication date: 22 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/icm2022/7
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Operator ideals (47L20)
Cites Work
- Unnamed Item
- A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem
- The algebra of bounded linear operators on \(\ell_p \oplus \ell_q\) has infinitely many closed ideals
- Multiplication operators on \(L(L_{p})\) and \(\ell_{p}\)-strictly singular operators
- Bounded orthogonal systems and the \(\Lambda\) (p)-set problem
- An ordinal \(L^p\)-index for Banach spaces, with application to complemented subspaces of \(L^p\)
- Examples of \(\mathcal L_p\) spaces \((1<p\neq 2<\infty)\)
- On uncomplemented subspaces of \(L_p\), \(1<p<2\)
- On the structure of tensor products of \(\ell_ p\)-spaces
- The number of closed ideals in \(L(L_p)\)
- Closed ideals of operators on the Tsirelson and Schreier spaces
- Ideals in \(L(L_1)\)
- On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
- Two-sided ideals and congruences in the ring of bounded operators in Hilbert space
- Some combinatorial and probabilistic inequalities and their application to Banach space theory II
- Symmetric structures in Banach spaces
- Closed ideals of operators between the classical sequence spaces
- Banach spaces for which the space of operators has 2𝔠closed ideals
This page was built for publication: The number of closed ideals in the algebra of bounded operators on Lebesgue spaces