Strictly singular operators in asymptotic \(\ell_p\) Banach spaces
From MaRDI portal
Publication:2441066
zbMath1300.46009arXiv1109.5874MaRDI QIDQ2441066
Publication date: 21 March 2014
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.5874
strictly singular operatorasymptotic \(\ell_p\) spaceSchreier familiesHI spaceconvexified mixed Tsirelson space
Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Asymptotic theory of convex bodies (52A23) Asymptotic theory of Banach spaces (46B06)
Cites Work
- A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem
- Isomorphisms and strictly singular operators in mixed Tsirelson spaces
- An extension of Schreier unconditionality
- Modified mixed Tsirelson spaces
- Convex unconditionality and summability of weakly null sequences
- Proximity to \(\ell_ 1\) and distortion in asymptotic \(\ell_ 1\) spaces
- Examples of asymptotic ℓ₁ Banach spaces
- The Unconditional Basic Sequence Problem
- STRICTLY SINGULAR, NON-COMPACT OPERATORS EXIST ON THE SPACE OF GOWERS AND MAUREY
- A HEREDITARILY INDECOMPOSABLE ASYMPTOTIC $\ell_2$ BANACH SPACE
- OnB-convex Banach spaces
- Distortion and spreading models in modified mixed Tsirelson spaces
- A dichotomy theorem for subsets of the power set of the natural numbers
- Strictly singular non-compact operators on hereditarily indecomposable Banach spaces
- A NOTE ON CERTAIN EQUIVALENT NORMS ON TSIRELSONS SPACE
- On the Structure of the Spreading Models of a Banach Space
This page was built for publication: Strictly singular operators in asymptotic \(\ell_p\) Banach spaces
