Basic Sequences and Subspaces in Lorentz Sequence Spaces Without Local Convexity
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Publication:3910933
DOI10.2307/1998360zbMath0461.46006OpenAlexW4238831989MaRDI QIDQ3910933
Publication date: 1981
Full work available at URL: https://doi.org/10.2307/1998360
Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Sequence spaces (including Köthe sequence spaces) (46A45) Locally convex Fréchet spaces and (DF)-spaces (46A04) Summability and bases in topological vector spaces (46A35)
Related Items (11)
Uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces ⋮ Factorization in Lorentz spaces, with an application to centralizers ⋮ Duality of Lorentz sequence spaces \(d(w,p)\) \((0<p<1)\) ⋮ The Lorentz sequence spaces d(w,p) where w is increasing ⋮ Complete paranormed Orlicz Lorentz sequence spaces over \(n\)-normed spaces ⋮ On vector-valued generalized Lorentz difference sequence space ⋮ Uniqueness of unconditional bases in quasi-Banach spaces with applications to Hardy spaces ⋮ Uniqueness of symmetric basis in quasi-Banach spaces ⋮ Vector-valued Lorentz sequence spaces and their dual spaces ⋮ Uniqueness of unconditional basis in Lorentz sequence spaces ⋮ Banach envelopes of \(p\)-Banach lattices, \(0<p<1\), and Cesàro spaces
Cites Work
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- On symmetric basic sequences in Lorentz sequence spaces. II
- On characterizing Köthe sequence spaces as vector lattices
- On symmetric basic sequences in Lorentz sequence spaces
- Orlicz sequence spaces without local convexity
- On Symmetric Sequence Spaces
- Absolutely summing operators in $ℒ_{p}$-spaces and their applications
- On Properties of Subspaces of l p , 0 < p < 1
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