Generalized Alexandroff Duplicates and CD 0(K) spaces

Generalized Alexandroff Duplicates and CD 0(K) spaces

We define and investigateCD Σ,Γ(K, E)-type spaces, which generalizeCD 0-type Banach lattices introduced in [1]. We state that the space CD Σ,Γ(K, E) can be represented as the space of E-valued continuous functions on the generalized Alexandroff Duplicate of K. As a corollary we obtain the main resul...

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Veröffentlicht in:Central European journal of mathematics 2006-09, Vol.4 (3), p.371-375
Hauptverfasser: Çaglar, Mert, Ercan, Zafer, Polat, Faruk
Format: Artikel
Sprache:eng
Schlagworte:
46D80
54C35
Alexandroff Duplicate
Banach lattices
CD0(K, E)-spaces
Continuity (mathematics)
homeomorphism
Lattices (mathematics)
Reproduction (copying)
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Zusammenfassung:We define and investigateCD Σ,Γ(K, E)-type spaces, which generalizeCD 0-type Banach lattices introduced in [1]. We state that the space CD Σ,Γ(K, E) can be represented as the space of E-valued continuous functions on the generalized Alexandroff Duplicate of K. As a corollary we obtain the main result of [6, 8].
ISSN:1895-1074
2391-5455
1644-3616
DOI:10.2478/s11533-006-0018-5