Given two Banach function spaces we study the pointwise product space E · F , especially for the case that the pointwise product of their unit balls is again convex. We then give conditions on when the pointwise product E ·M(E,F ) = F , where M(E,F ) denotes the space of multiplication operators from E into F .

In this note, we show that if a Banach space X has a predual, then every bounded linear operator on X with a continuous functional calculus admits a bounded Borel functional calculus. A consequence of this is that on such a Banach space, the classes of finitely spectral and prespectral operators coincide. We also apply this result to give some sufficient conditions for an operator with an absol...

For 0 < p < 1 we give examples of Banach spaces isometrically embedding into Lp but not into any Lr with p < r ≤ 1.

The conceptual spaces approach has emerged as a new and powerful way of thinking about concepts. In earlier work, the present authors have addressed the question of how to model vague concepts in the conceptual spaces framework. That in turn was instrumental in Decock’s and Douven’s account of a graded membership relation in further work. In this paper, we make use of the account of graded memb...

A careful analysis of the original definition of formal topology led to the introduction of a new primitive, namely a positivity relation between elements and subsets. This is, in other terms, a direct intuitionistic treatment of the notion of closed subset in formal topology. However, since formal open subsets do not determine formal closed subsets uniquely, the new concept of positivity relat...

In contemporary urban development, to improve the quality of public urban spaces has become one of the most outstanding goals of local urban policies, in order to increase pedestrian activities and people’s social interaction. In this context, to promote outdoor thermal comfort has an utmost importance, especially considering the heat island phenomenon. This paper recalls the use of urban desig...

The aim of this paper is to articulate an approach for discursive research on welfare cultures of ageing that that to understand conditions under which people are ageing in different countries, various societal levels and or are allowed to do so. As a result, this paper indicates the lack of spaces of ageing in the welfare context in Poland. People are expected not to grow old; old age remains ...

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This paper analyses the use of media and material in private homes based on empirical studies in a project on designing interactive domestic environments. Based on the analyses we propose a Domestic Hypermedia infrastructure (DoHM) combining spatial, context-aware and physical hypermedia to support collaborative structuring and ubiquitous presentation of materials in private homes. With DoHM we...