Abstract
Banach lattices CD 0(K,E) and CD ω(K,E) are introduced and lattice-norm properties of these spaces are investigated. We identify the centre and order continuous dual of these spaces.
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Abramovich, Y.A. and Wickstead, A.W.: 1993, Remarkable Classes of Unital AM-spaces, J. Math. Anal. and Appl. 180 398–441.
Abramovich, Y.A. and Wickstead, A.W.: 1996, A Banach-Stone Theorem for a new class of Banach Spaces, Indiana University Math. J. 45, no. 3 709–720.
Aliprantis, C.D. and Burkinshaw, O.: 1985, Positive Operators, Academic Press.
Ercan, Z. and Wickstead, A.W.: 1996, Banach Lattices of Continuous Banach Lattice-Valued functions. J. Math. Anal. and Appl. 198, 121–136.
Engelking, R.: 1989, General Topology, Helderman Verlag, Berlin.
Önal, S.: 1998, A note on a result of Abramovich and Wickstead. Middle East Technical University, preprint series.
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Alpay, Ş., Ercan, Z. CD0(K, E) and CDω(K, E)-Spaces as Banach Lattices. Positivity 4, 213–225 (2000). https://doi.org/10.1023/A:1009878527795
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DOI: https://doi.org/10.1023/A:1009878527795