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ÇAĞLAR, MERT

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ÇAĞLAR

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    Publication
    Positive Operators on Hilbert Lattices
    (International Conference on Theory and Applications of Mathematics and Informatics, ICTAMI, 2009) Mısırlıoğlu, Remzi Tunç; Çağlar, Mert; Çavuşoğlu, Özlem; ÇAĞLAR, MERT; 108824; 108339
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    Generalized Alexandroff Duplicates and CD 0(K) spaces
    (2006) Çağlar, Mert; Ercan, Zafer; Polat, Faruk; ÇAĞLAR, MERT; 108339; 181147; 1949
    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].
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    On positive operators without invariant sublattices
    (2009) Çağlar, Mert; Gönülli, Uğur; Mısırlıoğlu, Remzi Tunç; ÇAĞLAR, MERT; 108339; 114392; 108824
    By slightly modifying some of the examples given in [6], we obtain further examples of positive operators on the discrete Banach lattices c0, c, and `p (1 ≤ p < ∞) without non-trivial closed invariant sublattices.