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The Radon-Nikodým Property Does Not Imply the Separable Complementation Property

✍ Scribed by Anatolij M. Plichko; David Yost

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
94 KB
Volume
180
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

✦ Synopsis

There is a Banach space X enjoying the Radon-Nikody m Property and a separable subspace Y which is not contained in any complemented separable subspace of X.

📜 SIMILAR VOLUMES

The Radon-Nikodým Property for the Space
The Radon-Nikodým Property for the Space of Operators, I
✍ J. Diestel; T. J. Morrison 📂 Article 📅 1979 🏛 John Wiley and Sons 🌐 English ⚖ 343 KB

Some necessary and some sufficient conditions for the space of all bounded linear operators between two BANACH spaces to have the RADON-NIKODPM property are given. In recent years the study of BANACH spaces for which the RADON-NIKODPM theorem is valid has been enthusiastically joined by a number of