How to generate new Banach spaces non-isomorphic to their cartesian square

• Autorzy: Galego E.
• Języki publikacji: EN

Abstrakty

EN

Let alpha be a nondenumerable regular ordinal, fi any ordinal, X a Banach space. We introduce a closed subspace X[...] of the X[s] defined in [7] and of the X[alfa] defined in [6] to get a way to generate new Banach spaces non-isomorphic to their cartesian squares. In particular we obtain new Banach spaces X and Y non-isomorphic to their cartesian squares but having the property that X [...] Y is isomorphic to its cartesian square, see [5], and we give infinite solutions to Schroeder-Bernstein problem, see [4].

Słowa kluczowe

EN

cartesian squares; Schroeder-Bernstein problem

PL

analiza funkcjonalna

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1999
• Tom: Vol. 47, no 1
• Strony: 22--25
• Opis fizyczny: Bibliogr. 9 poz.,

Twórcy

autor

Galego E.