A quotient of \(C(\omega^\omega)\) which is not isomorphic to a subspace of \(C(\alpha)\), \(\alpha < \omega_ 1\)

DOI10.1007/BF02760938zbMath0464.46031MaRDI QIDQ1154084

Dale E. Alspach

Publication date: 1980

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

zbMATH Keywords

complemented subspacequotient spaceisomorphism with a subspacespace of continuous functions on the ordinals

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach spaces of continuous, differentiable or analytic functions (46E15) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (5)

Operators on $C(K)$ spaces preserving copies of Schreier spaces ⋮ Geometric relations between spaces of nuclear operators and spaces of compact operators ⋮ On contractively complemented subspaces of separable \(L_1\)-preduals ⋮ New examples of \(c_{0}\)-saturated Banach spaces ⋮ The dual of the Bourgain-Delbaen space

Cites Work

• Unnamed Item
• An extension theorem for separable Banach spaces
• On subspaces of quotients of (\(\sum G_n\))\(l_p\) and (\(\sum G_n\))\(c_0\)
• Classical Banach spaces
• Quotients of c 0 are Almost Isometric to Subspaces of c 0

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