Isomorphisms and strictly singular operators in mixed Tsirelson spaces

DOI10.1016/j.jmaa.2011.10.053zbMath1242.46014arXiv1107.2810OpenAlexW2963460000MaRDI QIDQ663653

Denka Kutzarova, Antonis Manoussakis, Anna Pelczar-Barwacz

Publication date: 27 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.2810

zbMATH Keywords

mixed Tsirelson spacestrictly singular operatorquasiminimality

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Linear operators defined by compactness properties (47B07)

Related Items (3)

Duals of Tirilman spaces have unique subsymmetric basic sequences ⋮ Strictly singular operators in asymptotic \(\ell_p\) Banach spaces ⋮ A dichotomy for subsymmetric basic sequences with applications to Garling spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Banach spaces without minimal subspaces -- examples
• A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem
• On Tsirelson's space
• Banach spaces without minimal subspaces
• Tsirelson superspaces and \(\ell _ p\)
• A Banach space with, up to equivalence, precisely two symmetric bases
• An arbitrarily distortable Banach space
• On the type and cotype of Banach spaces
• Modified mixed Tsirelson spaces
• Distorting mixed Tsirelson spaces
• Proximity to \(\ell_ 1\) and distortion in asymptotic \(\ell_ 1\) spaces
• Ramsey methods in analysis
• An infinite Ramsey theorem and some Banach-space dichotomies
• Quasiminimality in mixed Tsirelson spaces
• Characterising subspaces of Banach spaces with a Schauder basis having the shift property
• Examples of asymptotic ℓ₁ Banach spaces
• STRICTLY SINGULAR, NON-COMPACT OPERATORS EXIST ON THE SPACE OF GOWERS AND MAUREY
• Minimality properties of Tsirelson type spaces
• OnB-convex Banach spaces
• The Banach space S is complementably minimal and subsequentially prime
• Distortion and spreading models in modified mixed Tsirelson spaces
• A dichotomy theorem for subsets of the power set of the natural numbers
• Subsymmetric sequences and minimal spaces
• Strictly singular non-compact operators on hereditarily indecomposable Banach spaces
• A NOTE ON CERTAIN EQUIVALENT NORMS ON TSIRELSONS SPACE
• Remarks about Schlumprecht space
• l¹-Spreading models in subspaces of mixed Tsirelson spaces
• On asymptotically symmetric Banach spaces
• On the Structure of the Spreading Models of a Banach Space
• On the structure of a certain class of mixed Tsirelson spaces

This page was built for publication: Isomorphisms and strictly singular operators in mixed Tsirelson spaces