Modifications of the double arrow space and related Banach spaces C(K)

• Autorzy: Witold Marciszewski
• Języki publikacji: EN

Abstrakty

EN

We consider the class of compact spaces $K_{A}$ which are modifications of the well known double arrow space. The space $K_{A}$ is obtained from a closed subset K of the unit interval [0,1] by "splitting" points from a subset A ⊂ K. The class of all such spaces coincides with the class of separable linearly ordered compact spaces. We prove some results on the topological classification of $K_{A}$ spaces and on the isomorphic classification of the Banach spaces $C(K_{A})$.

Kategorie tematyczne

• 46E15: Banach spaces of continuous, differentiable or analytic functions
• 54C35: Function spaces
• 54F05: Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
• 46B03: Isomorphic theory (including renorming) of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 184
• Numer: 3
• Strony: 249-262

Daty

wydano

2008

Twórcy

autor

Witold Marciszewski

• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/sm184-3-4