𝔖 Bobbio Scriptorium
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Plane sections of the unit ball ofLp

✍ Scribed by R. Grząślewicz


Publisher
Akadmiai Kiad
Year
1988
Tongue
English
Weight
376 KB
Volume
52
Category
Article
ISSN
1588-2632

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Hamel-isomorphic images of the unit ball
✍ Jacek Cichoń; Przemysław Szczepaniak 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 119 KB

## Abstract In this article we consider linear isomorphisms over the field of rational numbers between the linear spaces ℝ^2^ and ℝ. We prove that if __f__ is such an isomorphism, then the image by __f__ of the unit disk is a strictly nonmeasurable subset of the real line, which has different prope