Subspaces and quotient spaces of \((\sum G_n)_{l_p}\) and \((\sum G_n)_{c_0}\)

DOI10.1007/BF02756824zbMath0282.46015OpenAlexW1969222196MaRDI QIDQ1843939

M. Zippin, William B. Johnson

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1007/bf02756824

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sequence spaces (including Köthe sequence spaces) (46A45) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

Banach spaces with the (strong) Gelfand-Phillips property ⋮ The Johnson-Schechtman space has the 6-bounded approximation property ⋮ Unnamed Item ⋮ A note on latticeability and algebrability ⋮ Asymptotic smoothness and universality in Banach spaces ⋮ Universality, complexity and asymptotically uniformly smooth Banach spaces ⋮ The universality of \(\ell _{1}\) as a dual space ⋮ Examples of uniformly homeomorphic Banach spaces ⋮ Subspaces and quotients of \(l_ p\) + \(l_ 2\) and \(X_ p\) ⋮ The scalar-plus-compact property in spaces without reflexive subspaces ⋮ A characterization of subspaces and quotients of reflexive Banach spaces with unconditional bases ⋮ Completeness and intertwined completeness of locally convex spaces ⋮ Uniform homeomorphisms of Banach spaces and asymptotic structure ⋮ The uniform structure of Banach spaces ⋮ A universal reflexive space for the class of uniformly convex Banach spaces ⋮ James' quasi-reflexive space is primary ⋮ The separable extension problem ⋮ Some recent discoveries in the isomorphic theory of Banach spaces ⋮ On an isomorphic Banach-Mazur rotation problem and maximal norms in Banach spaces ⋮ On Tsirelson's space ⋮ Asymptotic smoothness in Banach spaces, three-space properties and applications ⋮ Trees and branches in Banach spaces

Cites Work

• On subspaces of quotients of (\(\sum G_n\))\(l_p\) and (\(\sum G_n\))\(c_0\)
• On ω*-basic sequences and their applications to the study of Banach spaces
• The Approximation Problem for Banach Spaces
• Projection of the space (𝑚) on its subspace (𝑐₀)
• Note on a theorem of Murray