A dichotomy for subsymmetric basic sequences with applications to Garling spaces

DOI10.1090/tran/8278zbMath1470.46019arXiv1910.02414OpenAlexW3111240059MaRDI QIDQ4963638

Denka Kutzarova, Fernando Albiac, José Luis Ansorena, Stephen Dilworth

Publication date: 19 February 2021

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

Full work available at URL: https://arxiv.org/abs/1910.02414

zbMATH Keywords

sequence spacesLorentz spacessubsymmetric basic sequencesymmetric basic sequenceGarling spaces

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach sequence spaces (46B45)

Related Items (3)

Fundamental functions of almost greedy bases of \(L_p\) for \(1<p< \infty\) ⋮ Duals of Tirilman spaces have unique subsymmetric basic sequences ⋮ Uniqueness of unconditional basis of $\ell _{2}\oplus \mathcal T^{(2)}$

Cites Work

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• Isomorphisms and strictly singular operators in mixed Tsirelson spaces
• A Banach space with, up to equivalence, precisely two symmetric bases
• An arbitrarily distortable Banach space
• The distortion problem
• The structure of symmetric basic sequences with applications to a class of Orlicz sequence spaces
• On Orlicz sequence spaces
• On Orlicz sequence spaces. II
• On Orlicz sequence spaces. III
• On symmetric basic sequences in Lorentz sequence spaces
• Topics in Banach Space Theory
• The Unconditional Basic Sequence Problem
• Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$
• Garling sequence spaces
• Optimality of the rearrangement inequality with applications to Lorentz-type sequence spaces
• Non-superreflexivity of Garling sequence spaces and applications to the existence of special types of conditional bases
• Isomorphic classification of mixed sequence spaces and of Besov spaces over [0, 1^d]
• A note on subsymmetric renormings of Banach spaces
• On the Structure of the Set of Symmetric Sequences in Orlicz Sequence Spaces
• Symmetric bases of locally convex spaces
• On subspaces of Orlicz sequences spaces

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