While there is an increasing prevalence of dieting in the overall population, weight loss (WL) practices could be a risk factor for weight gain (WG) in normal-weight (NW) individuals. The aim of the present work was to systematically review all the studies implicating diet restriction and body weight (BW) evolution in NW people. The literature search was registered in PROSPERO (CRD42021281442) and was performed in three databases from April 2021 to June 2022 for articles involving healthy NW adults. From a total of 1487 records initially identified, eighteen were selected in the systematic review. Of the eight dieting interventional studies, only one found a higher BW after weight recovery, but 75 % of them highlighted metabolic adaptations in response to WL favouring weight regain and persisting during/after BW recovery. Eight of the ten observational studies showed a relationship between dieting and major later WG, while the meta-analysis of observational studies results indicated that ‘dieters’ have a higher BW than ‘non-dieters’. However, considering the high methodological heterogeneity and the publication bias of the studies, this result should be taken with caution. Moreover, the term ‘diet’ was poorly described, and we observed a large heterogeneity of the methods used to assess dieting status. Present results suggest that dieting could be a major risk factor for WG in the long term in NW individuals. There is, however, a real need for prospective randomised controlled studies, specifically assessing the relationship between WL induced by diet and subsequent weight in this population.

Although hepcidin synthesis is stimulated by inflammation and inhibited by Fe deficiency, the strength of their opposing effects on serum hepcidin (SHep) in humans remains unclear. It was recently shown that an inflammatory stimulus in anaemic women did not increase SHep or decrease Fe absorption. The enhancing effect of ascorbic acid on Fe absorption may not be effective during inflammation because of increased SHep. Our study aim was to test whether reducing inflammation in Fe-depleted overweight (OW) women with low-grade inflammation would lower SHep and improve Fe absorption with and without ascorbic acid, compared with normal-weight (NW) women without inflammation. Before and after 14 d of anti-inflammatory treatment (3 × 600 mg ibuprofen daily) in OW and NW women (n 36; 19–46 years of age), we measured SHep and fractional Fe absorption (FIA) (erythrocyte Fe incorporation) from 57Fe- and 58Fe-labelled test meals with and without ascorbic acid. There were significant group effects on IL-6, C-reactive protein, serum ferritin and SHep (for all, P < 0·05). There was a significant treatment effect on SHep (P < 0·05): in OW women, treatment decreased IL-6 by approximately 30 % and SHep by approximately 45 %. However, there were no significant treatment or group effects on FIA. Body Fe stores (BIS) were a significant positive predictor of SHep before and after treatment (P < 0·001), but IL-6 was not. Reducing chronic inflammation in OW women halved SHep but did not affect Fe absorption with or without ascorbic acid, and the main predictor of Fe absorption was BIS.

The topology of certain weighted inductive limits of Fréchet spaces of holomorphic functions on the unit disc can be described by means of weighted sup-seminorms in case the weights are radial and satisfy certain natural assumptions due to Lusky; in the sense of Shields and Williams the weights have to be normal. It turns out that no assumption on the (double) sequence of normal weights is necessary for the topological projective description in the case of o-growth conditions. For O-growth conditions, we give a necessary and sufficient condition (in terms of associated weights) for projective description in the case of (LB)-spaces and normal weights. This last result is related to a theorem of Mattila, Saksman and Taskinen.

AMS 2000 Mathematics subject classification: Primary 46E10. Secondary 30H05; 46A13; 46M40