Uniqueness of symmetric basis in quasi-Banach spaces

DOI10.1016/J.JMAA.2008.07.011zbMath1162.46005OpenAlexW2075717063MaRDI QIDQ947540

Camino Leránoz, Fernando Albiac

Publication date: 6 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.07.011

zbMATH Keywords

quasi-Banach spacesymmetric basis

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (1)

On perfectly homogeneous bases in quasi-Banach spaces

Cites Work

• Uniqueness of unconditional bases in quasi-Banach spaces with applications to Hardy spaces
• Uniqueness of the unconditional basis of \(\ell_{1}(\ell_p)\) and \(\ell_p(\ell_1)\), \(0<p<1\)
• On perfectly homogeneous bases in Banach spaces
• Banach spaces with a unique unconditional basis
• On Orlicz sequence spaces
• On symmetric basic sequences in Lorentz sequence spaces
• Uniqueness of unconditional basis of l_p(c₀) and l_p(l₂), 0<p<1
• The Mackey Topology and Complemented Subspaces of Lorentz Sequence Spaces d(w, p) for 0 < p < 1
• Convexity conditions for non-locally convex lattices
• Banach Envelopes of Non-Locally Convex Spaces
• Basic Sequences and Subspaces in Lorentz Sequence Spaces Without Local Convexity
• Orlicz sequence spaces without local convexity
• Uniqueness of unconditional basis in Lorentz sequence spaces
• Seven Views on Approximate Convexity and the Geometry of K -Spaces
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