C . E L L I S * A N D T . L U G E R â€ O N B E H A L F O F T H E I C C A D I I F A C U L T Y : D . A B E C K , R . A L L E N , R . A . C . G R A H A M B R O W N , Y . D E P R O S T , L . F . E I C H Eâ€¦ (More)

Let K be a compact metric space. A real-valued function on K is said to be of Baire class one (Baire-1) if it is the pointwise limit of a sequence of continuous functions. In this paper, we study twoâ€¦ (More)

A Banach space is polyhedral if the unit ball of each of its finite dimensional subspaces is a polyhedron. It is known that a polyhedral Banach space has a separable dual and is c0-saturated, i.e.,â€¦ (More)

In this paper, we give two examples, both of which answer the question in the negative. Both examples are James type spaces considered in [1]. They both possess properties stronger than Property (w).â€¦ (More)

If Î± is an ordinal, then the space of all ordinals less than or equal to Î± is a compact Hausdorff space when endowed with the order topology. Let C(Î±) be the space of all continuous real-valuedâ€¦ (More)

In this paper, we study minimality properties of partly modified mixed Tsirelson spaces. A Banach space with a normalized basis (e k) is said to be subsequentially minimal if for every normalizedâ€¦ (More)

We prove some common fixed point theorems with the help of the notion of w-distance in a metric space. Our results will improve and supplement some results of [1] and [6].

It is shown that for every 1 â‰¤ Î¾ < Ï‰ the Schreier space X Î¾ admits a set of continuum cardinality whose elements are mutually incomparable complemented subspaces spanned by subsequences of (e Î¾ n),â€¦ (More)

A classical theorem of Kuratowski says that every Baire one function on a G subspace of a Polish (= separable completely metrizable) space X can be extended to a Baire one function on X. Kechris andâ€¦ (More)

Let Î± be an ordinal. Then Î±Â1, the set of all ordinals equal to or preceding Î±, is a compact Hausdorff topological space. The space of all real-valued continuous functions on Î±Â1 is commonly denotedâ€¦ (More)