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A Note on the Hyperstonian ßX.

José M. Mazón (1986)

Mathematische Zeitschrift

A remark on $C D_{0} (K)$ -spaces.

Alpay, Safak, Ercan, Zafer (2006)

Sibirskij Matematicheskij Zhurnal

A remark on finite-dimensional $P_{λ}$ -spaces

J. Bourgain (1982)

Studia Mathematica

A short proof on lifting of projection properties in Riesz spaces

Marek Wójtowicz (1999)

Commentationes Mathematicae Universitatis Carolinae

Let $L$ be an Archimedean Riesz space with a weak order unit $u$ . A sufficient condition under which Dedekind [ $σ$ -]completeness of the principal ideal $A_{u}$ can be lifted to $L$ is given (Lemma). This yields a concise proof of two theorems of Luxemburg and Zaanen concerning projection properties of $C (X)$ -spaces. Similar results are obtained for the Riesz spaces $B_{n} (T)$ , $n = 1, 2, \dots$ , of all functions of the $n$ th Baire class on a metric space $T$ .

A Stone-Weierstrass theorem for Banach lattices

Rainer Nagel (1973)