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On the property (db) for continuous function spaces

โœ Scribed by Hermann Render

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
417 KB
Volume
92
Category
Article
ISSN
0166-8641

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โœฆ Synopsis

It is shown that the space C(X) of all continuous real-valued functions with the compact-open topology has the property (db) iff X is a p-space and a To-space. As a consequence C(X) has the property (db) iff C(X) is Baire-like answering a question in the literature. Generalizations to the topology of bounded convergence are given.

๐Ÿ“œ SIMILAR VOLUMES

On the Local Lifting Property for Operat
On the Local Lifting Property for Operator Spaces
โœ Seung-Hyeok Kye; Zhong-Jin Ruan ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 322 KB

We study the local lifting property for operator spaces. This is a natural noncommutative analogue of the Banach space local lifting property, but is very different from the local lifting property studied in C\*-algebra theory. We show that an operator space has the \*-local lifting property if and