On pairs of Banach spaces which are isomorphic to complemented subspaces of each other

• Autorzy: Elói Medina Galego
• Języki publikacji: EN

Abstrakty

EN

We establish the existence of Banach spaces E and F isomorphic to complemented subspaces of each other but with $E^m ⊕ Fⁿ$ isomorphic to $E^{p} ⊕ F^q$, m, n, p, q ∈ ℕ, if and only if m = p and n = q.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46B03: Isomorphic theory (including renorming) of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 101
• Numer: 2
• Strony: 279-287

Daty

wydano

2004

Twórcy

autor

Elói Medina Galego

• Department of Mathematics, IME, University of São Paulo, São Paulo, 05508-090, Brazil

Identyfikatory

DOI

10.4064/cm101-2-10