On symmetric basic sequences in Lorentz sequence spaces. II

DOI10.1007/BF02882238zbMath0286.46019MaRDI QIDQ1846079

Peter G. Casazza, Bor-Luh LIn

Publication date: 1974

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (14)

The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces ⋮ Basic Sequences and Subspaces in Lorentz Sequence Spaces Without Local Convexity ⋮ Banach spaces of linear operators and homogeneous polynomials without the approximation property ⋮ A new complemented subspace for the Lorentz sequence spaces, with an application to its lattice of closed ideals ⋮ Cantor-Bernstein theorems for certain symmetric bases in Banach spaces ⋮ Subspaces generated by translations in rearrangement invariant spaces ⋮ Strictly singular and strictly co-singular inclusions between symmetric sequence spaces ⋮ Norm closed operator ideals in Lorentz sequence spaces ⋮ Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces ⋮ Lattice structures and spreading models ⋮ On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces ⋮ Uniform convexity in Lorentz sequence spaces ⋮ Characterization of \(c_0\) and \(\ell_p\) among Banach spaces with symmetric basis ⋮ The structure of symmetric basic sequences with applications to a class of Orlicz sequence spaces

Cites Work

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• Diagonal submatrices of matrix maps
• On the complemented subspaces problem
• An isomorphic characterization of \(L_ p\) and \(c_ 0\)-spaces. II
• On Orlicz sequence spaces
• On Orlicz sequence spaces. II
• On Orlicz sequence spaces. III
• On symmetric basic sequences in Lorentz sequence spaces
• On bases and unconditional convergence of series in Banach spaces
• Projections in certain Banach spaces
• On Symmetric Sequence Spaces
• A Class of Reflexive Symmetric Bk-Spaces

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