author = "Gutman A.E. and Koptev A.V.",

title = "Spaces of $CD_0$-functions and Alexandroff duplicate",

journal = "Vladikavk. Math. J.",

year = "2007",

volume = "9",

number = "3",

pages = "11--21",

language = "russian",

annote = "We first briefly expose some crucial phases in studying the space $CD_0(Q)=C(Q)+c_0(Q)$ whose elements are the sums of continuous and ``discrete'' functions defined on a compact Hausdorff space $Q$ without isolated points. In this part, special emphasis is on describing the compact space $Q^{\bullet}$ representing the Banach lattice $CD_0(Q)$ as $C(Q^{\bullet})$. In addition, a large fragment of the article is dedicated to the analogous frame related to the space $CD_0(Q,X)$ of ``continuous-discrete'' sections of a Banach bundle $X$ and the space of $CD_0$-homomorphisms of Banach bundles.",

keywords = "Banach lattice, AM-space, Alexandroff duplicate, continuous Banach bundle, section of a Banach bundle, Banach $C(Q)$-module, homomorphism of Banach bundles, homomorphism of $C(Q)$-modules"